Alphabetical list of terms and concepts explained in Concise Encyclopedia of Biostatisitcs for Medical Professionals by Abhaya Indrayan and Martin Holt, published by CRC Press, 2016
Concise Encyclopedia of Biostatistics for Medical Professionals By Abhaya Indrayan and Martin P. Holt CRC Press, 2016 Full Contents
A abortion rate/ ratio absolute risk reduction, see attributable risk (AR) accelerated failure time model, see also proportional hazards acceptable risk acceptance and rejection regions acceptance sampling, see lot quality assurance scheme accuracy actuarial method, see expectation of life and life table adaptive designs for clinical trials added variable plot additive effect/ factors adjusted effects, see also adjusted mean, adjusted odds ratio, adjusted R2 adjusted mean adjusted odds ratio (adjusted OR), see also odds ratio (OR) adjusted R2, see also multiple correlation adjusting for baseline values, see also analysis of covariance adolescent health (epidemiological indicators of) adult health (epidemiological indicators of) adult literacy rate, see education indicators adverse effect and adverse patient outcomes affinity, see also measures of dissimilarity and similarity age-period cohort analysis age-specific death rates, see death rates agglomerative methods, see hierarchical clustering agreement assessment (overall), see also Bland–Altman method of agreement agreement charts AIC, see Akaike information criterion (AIC) and general AIC (GAIC) Akaike information criterion (AIC) and general AIC (GAIC) aleatory uncertainties, see also epistemic uncertainties algorithm (statistical) allocation of subjects, see also random allocation alternative hypothesis, see null and alternative hypotheses alpha error, see level of significance alpha-spending function, see also Lan–deMets procedure analysis of covariance (ANCOVA) analysis of variance (ANOVA), see also one-way ANOVA, two-way ANOVA, repeated measures ANOVA analysis (statistical) analytical studies ANCOVA, see analysis of covariance (ANCOVA) Anderberg dichotomy coefficient, see association between dichotomous characteristics (degree of) Anderson–Darling test ANOVA, see analysis of variance (ANOVA) antagonism, see interaction antecedent factors APACHE score Apgar score area diagram area sampling area under the concentration curve (AUC curve) area under the ROC curve, see C-statistic arithmetic mean, see mean (arithmetic, geometric and harmonic) ARMA and ARIMA models, see autoregressive moving average (ARMA) models Armitage–Doll model arms of a trial association and its degree association between dichotomous characteristics (degree of) association between ordinal characteristics (degree of) association between polytomous characteristics (degree of) association in prospective, retrospective and cross-sectional studies, see also chi-square test for 2×2 tables assumptions (statistical) asymptotic relative efficiency, see relative efficiency of estimators asymptotic regression, see regressions (types of) attack rate attenuated correlation attributable fraction, see attributable risk (AR) fraction attributable risk (AR), see also attributable risk (AR) fraction, population attributable risk and population attributable fraction attributable risk (AR) fraction, see also population attributable risk and population attributable fraction attributes AUC, see area under the concentration curve (AUC curve) autocorrelation autoregressive models, see autoregressive moving average (ARMA) models autoregressive moving average (ARMA) models average deviation, see variation (measures of) average linkage method of clustering, see also cluster analysis
B backward elimination, see stepwise methods Balaam design, see also crossover design balanced and unbalanced designs Bangdiwala B, see also Cohen kappa bar diagrams Barnard test Bartlett test baseline, see also baseline equivalence, baseline hazard/ risk baseline equivalence, see also baseline baseline hazard/ risk bathtub curve/ distribution Bayesian confidence interval, see Bayesian inference Bayesian inference, see also Bayes rule Bayes rule, see also Bayesian inference BCPE method, see Box-Cox power exponential (BCPE) method bed–population ratio, see health infrastructure (indicators of) before–after design/ study Beherens–Fisher problem, see Welch test bell-shaped distribution, see Gaussian distribution Berkson bias best subset method of choosing predictors beta distribution beta error, see Type-II error biased estimates, see unbiased estimator biased sample bias in literature review bias in medical studies and their minimization, see also bias (statistical) bias in publications, see publication bias bias pyramid bias (statistical), see also biased sample, unbiased estimator bidirectional dependence bihistogram bikini syndrome, see confidence intervals (the concept of) bimodal distribution binary dependent/ outcomes/ predictor/ response/ variables binomial distribution binormal distribution bioassays, see also parallel–line assays, slope–ratio assays, quantal assays bioavailability, see also half-life of medications, pharmacokinetic parameters, area under the concentration curve bioequivalence, see also bioavailability, area under the concentration (AUC) curve bioinformatics biostatistics biplot birth and death registration birth cohort birth–death process, see stochastic processes birth order birth rate, see fertility indicators birth weight ratio biserial correlation, see point-biserial correlation bivariate distributions bivariate Gaussian distribution black box approach Bland–Altman method of agreement, see also agreement assessment (overall) blinding, masking and concealment of allocation block, cluster, and stratified randomization, and minimization, see also random allocation BMI, see body mass index body mass index (BMI), see also obesity (measures of) Bonferroni procedure/ test, see also multiple comparisons bootstrap procedure, see resampling Bowker test, see McNemar–Bowker test Box–Pierce and Ljung–Box Q test box-and-whiskers plot Box–Cox power exponential (BCPE) method, see also LMS method Box–Cox power transformations, see also power transformations Box M test Breslow–Day test Breslow test Broca index Brown–Forsyth test bubble charts burden of disease, see also disability-adjusted life years (DALYs) butterfly effect
C calibration canonical correlation capture–recapture method carry-over effect, see crossover designs/ trials cartogram case-control studies, see retrospective studies case-fatality rate case reports cases (selection of) case series/ studies casewise, pairwise and listwise deletion categorical data (analysis of) – overall categorical variables, see variables categories of data values causal chain/ pathway causal diagram causal inference, see cause-effect relationship cause–effect relationship cause of death cause-specific death rate, see death rates cell frequency censoring (of observations) census centiles, see percentiles and percentile curves central limit theorem (CLT) central values (understanding and which one to use), see also mean, median and mode (calculation of) centroid method of clustering, see also cluster analysis champaign glass effect, see health inequality chance, see also uncertainties chance node, see decision analysis/ tree chaotic measurements charts (statistical) child mortality rate, see mortality rates chi-square – overall chi-square test for 2×2 tables, see also chi-square test for odds ratio and relative risk chi-square test for larger two-way contingency tables chi-square test for goodness-of-fit, see goodness-of-fit chi-square test for odds ratio and relative risk, see also chi-square test for 2×2 tables chi-square test for three-way contingency tables chi-square test for trend in proportions and deviation from trend choroplethic map, see also thematic map, spot map circadian rhythm, see diurnal variation civil registration system, see birth and death registration circular sampling, see systematic sampling classification, see also discriminant analysis/ functions, cluster analysis classification and regression trees class-intervals clinical equipoise, see equipoises clinical equivalence, see also equivalences (types of) in clinical trials clinically important difference, see medically important effect (the concept of) clinical tolerance range, see also medically important difference (test for detecting) clinical trials (overview) clinimetrics, see also scoring systems for diagnosis and for gradation of severity Clopper–Pearson bounds/ interval, see also exact confidence intervals (CIs), Wilson interval cluster analysis clustering effect, see design effect and the rate of homogeneity cluster randomization, see block, cluster, and stratified randomization, and minimization clusters, see also cluster analysis cluster sampling C-max, see pharmacokinetic parameters (Cmax, Tmax) and pharmacokinetic studies Cochrane collaboration/ reviews Cochran Q test Cochran test for linearity of trend, see chi-square test for trend in proportions and deviation from trend coding coefficient of correlation, see correlation coefficient (Pearsonian/ product–moment) coefficient of determination, see multiple correlation coefficient of reproducibility, see Guttman scale coefficient of variation Cohen kappa, see also Bangdiwala B cohort studies, see also prospective studies collinearity, see multicollinearity communality of a variable comparative mortality ratio comparison groups comparison of one sample mean and proportion with a prespecified value comparison of one sample proportion with a prespecified value, see comparison of one sample mean and proportion with a prespecified value comparison of intercepts in two or more simple linear regressions comparison of two or more correlation coefficients comparison of two or more means, see Student t-test, analysis of variance (ANOVA) comparison of two or more medians, see Wilcoxon signed-ranks test, Kruskal–Wallis test comparison of two or more odds ratios comparison of two or more proportions comparison of two or more regression coefficients comparison of two or more regression lines comparison of two or more relative risks competing risks complete linkage method of clustering, see also cluster analysis completely randomized designs compliance (in clinical trials) components of variance, see variance components analysis composite curve composite index computer-aided diagnosis, see expert systems concealment of allocation, see blinding, masking and concealment of allocation concomitant variable, see dependent and independent variables (in regression) concordance and disconcordance concurrent and historical controls, see controls concurrent cohort, see cohort studies concurrent validity, see validity (types of) conditional probability, see probability confidence band for regression line/ curve confidence bounds, see also confidence intervals (the concept of) confidence intervals (the concept of) confidence interval (CI) for attributable risk (AR) confidence interval (CI) for correlation coefficient confidence interval (CI) for difference between means/ proportions confidence interval (CI) for mean confidence interval (CI) for median, see also exact confidence intervals (CIs) confidence interval (CI) for odds ratio (OR) confidence interval (CI) for predicted y in simple linear regression confidence interval (CI) for proportion, see also exact confidence intervals (CIs) confidence interval (CI) for regression coefficient and intercept in simple linear regression confidence interval (CI) for relative risk (RR) confidence interval (CI) for variance confidence interval (CI) versus test of significance confidence level, see confidence intervals (the concept of) confounders conjoint analysis consecutive sampling consistency, see also internal consistency CONSORT statement constructs (statistical), see factor analysis construct validity, see validity (types of) consumption units content validity, see validity (types of) contingency coefficient, see association between polytomous characteristics (degree of) contingency tables continuity correction continuous variables (distribution of), see also discrete variables (distribution of) contour-like diagram, see Lexis diagram contrasts (statistical) control charts, see also cusum chart controls convenience sample, see sampling techniques COREQ (reporting of quality research) correlation (the concept of), see also correlation coefficient (Pearsonian/ product–moment) correlation coefficient (Pearsonian/ product-moment) correlation matrix correlogram, see autocorrelation correspondence analysis covariance covariance (analysis of), see analysis of covariance (ANCOVA) covariance matrix, see dispersion matrix covariates Cox–Mantel test, see log-rank test (Mantel–Cox test) Cox model, see Cox regression Cox proportional hazards model, see proportional hazards, see also Cox regression Cox regression Cramer V, see association between polytomous characteristics (degree of) criterion validity, see validity (types of) critical region/ value, see acceptance and rejection regions Cronbach alpha crossover designs/ trials, see also crossover trials (analysis of) crossover trials (analysis of) cross-product ratio, see odds ratio cross-sectional studies C-statistic, see also receiver operating characteristic (ROC) curve cubic clustering criterion cubic splines cumulative frequency, see ogive curvilinear regression, see also regression (types of) cusum chart cyclic model/ trend
D DALYs, see disability-adjusted life years (DALYs) data analytics, see also data mining database systems data collection, see also data quality data dredging, see also data snooping data entry data management data mining data (nature of) data quality Data Safety and Monitoring Board data snooping, see data dredging, data mining data source (primary and secondary) death certification see also cause of death death rates, see also mortality rates death spectrum deciles, see quantiles decision analysis/ tree degrees of freedom (df) (the concept of) Delphi method Demographic and Health Surveys demographic cycle demographic indicators, see also demographic cycle, population pyramid demography dendrogram, see also cluster analysis dependence and independence (statistical), see also dependent and independent variables (in regression) dependency ratio dependent and independent variables (in regression) descriptive analysis/ studies, see also exploratory data analysis descriptive studies design effect and the rate of homogeneity design of experiments, see experimental designs designs of medical studies (overview), see also experimental designs deterministic variables, see variables deviance deviations, see variation (measures of) df, see degrees of freedom (df) (the concept of) diagnosis errors diagnostic tests, see sensitivity and specificity, predictivities (of medical tests), gain from a medical test diagnostic trials, see clinical trials (overview) diagrams, see graphs and diagrams dichotomous categories, see categories of data values dietary indices difference-in-differences approach digit preference direct standardization, see standardized death rates disability-adjusted life years (DALYs) disability-free life expectancy, see life expectancy (types of) disability weight, see also disability adjusted life years (DALYs) disconcordance, see concordance and disconcordance discrete variables (distribution of), see also continuous variables (distribution of) discriminant analysis/ functions discriminating power disease spectrum DisMod, see epidemiologically consistent estimates dispersion, see variation dispersion matrix distal measures, see proximal and distal measures of health and disease distribution-free methods/tests, see nonparametric methods/ tests (overview) distributions (statistical) diurnal variation doctor-population ratio, see health infrastructure (indicators of) donut diagram dose-response (type of) relationship dot plot double blind trials, see blinding, masking and concealment of allocation double sampling, see two-phase sampling dummy variables, see variables Duncan test Dunnett test, see also multiple comparisons Durbin–Watson test
E ecological fallacy ecological study, see ecological study ED50 education indicators effect modification, see interaction effect size, see also medically important effect (the concept of) efficacy and effectiveness empiricism empty cells, see contingency tables endogenous and exogenous factors and variables enrollment ratio, see education indicators ensemble methods epidemic curve epidemic models, see also infectious disease models epidemiologically consistent estimates epidemiological studies epistemic uncertainties, see also aleatory uncertainties equipoises equivalence and noninferiority trials, see also equivalence, superiority and noninferiority tests equivalence, superiority and noninferiority tests equivalences (types of ) in clinical trials, see also equivalence and noninferiority trials errors (statistical), see measurement errors, Type-I error, Type-II error error sum of squares error variance estimate estimator (unbiased), see unbiased estimator ethics of clinical trials and medical research etiologic factors, see also causal diagrams etiologic fraction, see attributable risk (AR) fraction etiology diagrams, see causal diagrams Euclidean distance evaluation of health programs/ systems evidence (levels of) evidence-based medicine exact confidence intervals (CIs) exact tests examination (health/ medical) data/ surveys exchangeability exclusion criteria, see inclusion and exclusion criteria exhaustive categories, see mutually exclusive and exhaustive categories exogenous factors, see endogenous and exogenous factors and variables expectation of life and the life table, see also life expectancy (types of) experimental designs, see also experimental studies experimental studies, see also experimental designs experimentation (statistical principles of) experiment-wise and comparison-wise error rate expert systems explanatory and predictive models explanatory variables, see variables exploratory data analysis, see also exploratory studies exploratory studies exponential curve/ function, see also exponential distribution exponential distribution, see also exponential curve/ function extrapolation, see also interpolation eyeball fit
F face validity, see validity (types of) factor analysis, see also factor scores factorial and partially factorial designs factor loadings, see factor analysis factors (classificatory and experimental) factor scores, see also factor analysis fallacies (statistical), see also misuse of statistical tools false negative and false positive familial aggregation fertility indicators field trials, see clinical trials Fieller theorem file–drawer effect finite population correction Fisher–Beherens problem, see Welch test Fisher exact test Fisher–Irwin test, see Fisher exact test Fisher z-transformation, see comparison of two or more correlation coefficients fixed and random effects, see also mixed effects models flow chart focus group discussion follow-up studies, see prospective studies forecasting forest plot, see meta-analysis forward selection, see stepwise methods fractiles, see quantiles frailty models Framingham Heart Study F-ratio, see F-test frequencies, see also frequency curve/ distribution/ polygon frequency curve/ distribution/ polygon frequency (in a cell), see also expected frequency frequentist approach, see Bayesian inference Friedman test F-test funnel plot
G GAIC, see Akaike information criteria (AIC) and general AIC (GAIC) gain from a medical test gamma distribution Gantt chart garbage-in garbage-out (GIGO) syndrome Gaussian conditions Gaussian deviate, see also Gaussian distribution (standard) Gaussian distribution Gaussian probability (how to obtain) Gaussianity (how to check) Gaussian test, see z-test generalized estimating equations (GEE) generalized linear models, see also general linear models general linear models, see also generalized linear models generalized Wilcoxon test, see Breslow test gender inequality index general fertility rate, see fertility indicators geometric mean, see mean (arithmetic, geometric and harmonic) geriatric health (epidemiological indicators of) Gini coefficient, see also health inequality, Palma measure of inequality GLM, see generalized linear models global burden of disease (GBD), see burden of disease gold standard Goodman–Kruskal gamma, see association between ordinal categories (degree of) goodness-of-fit graphs and diagrams, see also charts (statistical), maps (statistical) gross domestic product (GDP) gross enrollment ratio, see education indicators gross reproduction rate, see fertility indicators group average method of clustering, see centroid method of clustering grouped data, see also class-intervals group sequential design growth charts, see also growth indicators of children growth indicators of children, see also, Z-score, T-score, velocity of growth growth velocity, see velocity of growth in children Grubb test Guttman scale
H half-life of medications haphazard sampling hard data and soft data harmonic mean, see mean (arithmetic, geometric and harmonic) harmonic regression harmonization of data Hawthorne effect hazard functions hazard rate/ ratio, see also proportional hazards health adjusted life expectancy, see life expectancy (types of) health inequality, see also Gini coefficient, Palma measure of inequality health infrastructure (indicators of) health measurement health programs (evaluation of), see evaluation of health programs/ systems health situation analysis health statistics healthy life expectancy, see life expectancy (types of) hierarchical clustering, see also cluster analysis hierarchical designs hierarchical models/ regression hierarchical regression histogram historical cohort, see cohort studies homogeneity of variances, see homoscedasticity homoscedasticity Hosmer–Lemeshow test hospital statistics Hotelling T2 human development index Huynh–Feldt correction, see also repeated measures ANOVA hyperpopulation hypothesis (null and alternative), see null and alternative hypotheses hypothesis (research) hypothesis testing (statistical), see also null and alternative hypotheses
I I2 (index of homogeneity) in meta-analysis, see also meta–analysis ICD, see International Classification of Diseases (ICD) icicle plots imprecise probability, see probability imputation for missing values, see also nonresponse inception cohort, see cohort studies incidence inclusion and exclusion criteria incomplete tables, see contingency tables independence (statistical), see dependence and independence (statistical) independent and paired samples . independent variables, see dependent and independent variables indexes, see also indicators indicators, see also indexes indicator variables, see variables indirect standardization, see standardized death rates Indrayan smoking index infant mortality rate, see mortality rates infection rate infectious disease models, see also epidemic models infectivity, pathogenicity and virulence, see disease spectrum inference (statistical) infographics informatics (medical), see also expert systems informed consent, see ethics of clinical trials and medical research instrumental variables, see variables intention-to-treat analysis interaction, see also main effect and interaction effect in ANOVA intercept (in a regression), see simple linear regression interim analysis internal attributes, see factor analysis internal consistency, see also consistency internal validation, see validation Interntional Classification of Diseases (ICD) interpolation interquartile range, see variation (measures of) interrater reliability interval estimate, see confidence intervals (the concept of) interval scale, see scales of measurement (statistical) intervention studies, see also clinical trials, experimental studies interview data/ survey, see also interviewing techniques interviewer bias, see bias in medical studies and their minimization interviewing techniques intraclass correlation, see also interrater reliability, agreement assessment (overall) intraobserver consistency/ reliability, see also intraclass correlation inverse association inverse probability, see Bayes rule inverse sampling Ishikawa diagram item analysis iterative procedure
J Jaccard dichotomy coefficient, see association between dichotomous characteristics (degree of) jackknife resampling, see resampling Jeffreys interval for binomial p, see also Clopper–Pearson bound/ interval jitter graph/ plot joint distribution, see bivariate distribution J-shaped curve/ distribution
K Kaiser–Meir–Olkin (KMO) measure Kaplan–Meier method, see also survival curve/ function kappa (statistic), see Cohen kappa Kendall tau, see association between ordinal characteristics (degree of) Kolmogorov-Smirnov test Kruskal–Wallis test Kuder–Richardson coefficient kurtosis
L lag, see autocorrelation Lan–deMets procedure, see also O’Brien–Fleming procedure landmark analysis LASSO, see least absolute shrinkage and selection operator (LASSO) latent variables models, see also latent variables latent variables laws of probability (addition and multiplication), see also probability least absolute shrinkage and selection operator (LASSO) least significant difference (LSD), see also multiple comparisons least squares method left-skewed distribution, see skewness and coefficient of skewness level of significance, see also P-values Levene test Lexis diagram life expectancy (types of), see also expectation of life and life table lifetable, see expectation of life and the life table life table method, see survival curve/ function likelihood, log-likelihood and maximum likelihood estimates likelihood ratio of a diagnostic test likelihood ratio test, see also likelihood, log-likelihood and maximum likelihood estimates Likert scale limits of agreement, see Bland–Altman method of agreement linear effect, see also linearity (test for) linearity (test for), see also linear effect linear models, see general linear models linear regression, see also simple linear regression, multiple linear regression line diagrams linkage, see record linkage link functions listwise deletion, see casewise, pairwise and listwise deletion literacy rate, see education indicators LMS method LMSP method, see Box–Cox power exponential (BCPE) method loadings, factor location (measures of) logarithmic scale/ transformation logistic coefficients (CI and test of H0) logistic coefficients (interpretation of), see also logistic coefficients (CI and test of H0) logistic discriminant functions logistic models/ regression (adequacy of) logistic models/ regression (basics of) logistic models/ regression (multinomial, ordinal, and conditional), see also logistic models/ regression (basics of) logistic regression (requirements for) logit, see also logistic model/ regression (basics of) log-likelihood, see likelihood, log-likelihood and maximum likelihood estimates log-linear models log-normal distribution log-rank (Mantel–Cox) test longitudinal data (analysis of) longitudinal studies, see prospective studies lot quality assurance scheme LOWESS plot
M Mahalanobis distance main effects and interaction effects in ANOVA MANOVA, see multivariate analysis of variance (MANOVA) Mann–Whitney–Wilcoxon test, see Wilcoxon rank-sum test Mantel–Cox test, see log-rank (Mantel–Cox) test Mantel–Haenszel procedure maps (statistical), see choroplethic map, cartogram, spot map, thematic map marginal distribution, see bivariate distributions, multivariate distributions Markov process, see stochastic processes masking, see blinding, masking and concealment of allocation matched pairs, see also matching matching, see also matched pairs maternal mortality rate, see also mortality rates mathematical models, see models (statistical) Mauchly test for sphericity maximum likelihood method, see likelihood, log-likelihood and maximum likelihood estimates McNemar–Bowker test McNemar test mean (arithmetic, geometric, harmonic), see also mean, median and mode (calculation of) mean deviation, see variation (measures of) mean, median, and mode (calculation of), see also central values (understanding and which one to use) mean square due to error (MSE), see mean squares in ANOVA mean squares in ANOVA measurement errors measures of central tendency, see central values (understanding and which one to use) measures of dissimilarity and similarity median, see central values (understanding and which one to use); mean, median, mode (calculation of) median effective dose, see ED50 median method of clustering median test, see also sign test, Wilcoxon signed-ranks test mediators and moderators of outcome medical care errors (statistical control of) medical decisions (statistical aspects of) medical experiments, see experimental studies medically important difference (tests for detecting), see also medically important effect (the concept of) medically important effect (the concept of) medical records medical research (types of) medical significance versus statistical significance medical uncertainties (sources of), see aleatory and epistemic uncertainties medical uncertainties (types of), see also aleatory uncertainties, epistemic uncertainties mental health (indicators of) meta–analysis, see also funnel plot, I2 (index of homogeneity) meta–analysis of observational studies in epidemiology (MOOSE) guidelines meta–regression, see also meta–analysis metric categories, see categories metric scale, see scales of measurement (statistical) misclassification missing data, see also imputation for missing data, nonresponse misuse of statistical tools, see also fallacies (statistical) mixed diagram, see also graphs and diagrams mixed effects models mode, see mean, median, mode (calculation of ), see also bimodal distribution/ probability models (statistical) monotonic relationship Monte Carlo methods MOOSE guidelines, see meta–analysis of observational studies in epidemiology (MOOSE) guidelines morbidity indicators, see also incidence, prevalence and prevalence rates mortality rates, see also death rates moving averages MSE, see mean squares in ANOVA multiarms trials multicentric trials multicollinearity multilevel models/ regression, see hierarchical models/ regression multinomial distribution/ test multiple comparisons, see also Bonferroni procedure/ test, Dunnett test, least significant difference (LSD), Tukey test for multiple comparisons multiple correlation multiple imputations, see imputation for missing values check sequence multiple linear regression, see also regressions (types of), simple linear regression multiple responses multistage random sampling multivariate analysis of variance (MANOVA) multivariate data/ methods multivariate distributions multivariate Gaussian distribution, see also bivariate Gaussian distribution multivariate logistic regression, see also logistic models/ regression (multinomial, ordinal and conditional) multivariate regression mutually exclusive and exhaustive categories, see also multiple responses
N national well-being natural clusters, see cluster analysis natural experiments negative binomial distribution negative trials neonatal mortality rate, see mortality rates nested case-control studies, see retrospective studies nested designs, see hierarchical designs net reproduction rate, see fertility indicators NNT, see number needed to treat n-of-1 trials nominal categories, see categories of data values nominal scale, see scales of measurement (statistical) nomogram nonGaussian distributions, see distributions (statistical) noninferiority test, see equivalence, superiority and noninferiority tests noninferiority trials, see equivalence and noninferiority trials nonlinear regression, see also linear regression, curvilinear regression nonparametric methods/ tests – overview nonrandom sampling, see sampling techniques nonresponse nonsampling errors nonsense correlation, see correlation (the concept of) normal distribution, see Gaussian distribution normality (test of), see Gaussianity (how to check) normalization normal probability plot, see also quantile-by-quantile (Q-Q) plot normal range of medical parameters notations (statistical) nuisance parameters null and alternative hypotheses number needed to treat (NNT) numerical analysis/ method
O obesity (measures of), see also body mass index O’Brien–Fleming procedure, see also Lan–deMets procedure observational studies, see also natural experiments observations (statistical) observed zeroes, see contingency tables observer bias/ errors/ variation odds, see also odds ratio (OR) odds ratio (OR), see also odds ogive one-sided bound, see confidence bound one- and two-tailed alternatives/ tests one-way ANOVA, see also analysis of variance (ANOVA) one-way designs, see also two-way designs open trials operations research optimistic index (page 709 of my book) ordered alternatives, see also one- and two-tailed alternatives/ tests OR, see odds ratio (OR) order of a table, see contingency tables order statistics ordinal association, see association between ordinal characteristics (degree of) outcome variables outliers overanalysis, see also data dredging overfit (of regression) overmatching, see also matching
P pack-years of smoking paired samples, see also matched pairs paired t-test, see Student t-test pairwise deletion, see casewise, pairwise and listwise deletion Palma measure of inequality, see also Gini coefficient, health inequality parabolic curve, see curvilinear regression parallel controls, see controls parallel–line assays parametric models parameters parameter uncertainty, see sensitivity analysis, parametric models parsimonious models partial correlation partial least squares partial likelihood partitioning of chi-square and of tables, see also chi-square – overall partogram path analysis pattern recognition Pearsonian correlation, see correlation coefficient (Pearsonian/ product–moment) PECOS system, see population, exposure, control, outcome and study design (PECOS) to do pedigree charts penalized likelihood, see Akaike information criterion (AIC) and general AIC (GAIC) percentiles and percentile curves, see also growth charts periodogram perinatal mortality rate/ ratio, see mortality rates permutation tests personal probability, see probability person-time pharmacoepidemiology (statistical) pharmacokinetic parameters (Cmax, Tmax) and pharmacokinetic studies, see also area under the curve (AUC) , half-life of medications phases of (clinical) trials phi coefficient, see association between polytomous characteristics (degree of) physical quality of life index, see also quality of life index PICO method, see population, intervention, comparison and outcome (PICO) method pie diagram (exploded/ wedged) Pillai trace pilot study and pretesting placebo point-biserial correlation point estimate, see estimate Poisson distribution Poisson regression polynomial regression, see curvilinear regression polytomous categories, see categories of data values ponderal index, see also body mass index (BMI) pooled chi-square, see Mantel–Haenszel procedure pooled odds ratio (OR), see Mantel–Haenszel procedure pooled relative risk (RR), see Mantel–Haenszel procedure pooled variance population (the concept of) population attributable risk and population attributable fraction, see also attributable risk population growth model and curve population, intervention, comparison and outcome (PICO) method population pyramid positive health posterior probability, see prior and posterior probability posthoc comparisons, see multiple comparisons postmarketing surveillance, see also phases of (clinical) trials poststratification potential years of life lost (PYLL), see also disability adjusted life-years (DALYs) poverty index power (statistical) and power analysis power transformations, see also Box-Cox power transformations P-P plot, see proportion-by-probability (P-P) plot PPS sampling, see probability proportional to size (PPS) sampling pragmatic trials precision, see also reliability predicted value and prediction interval in regression prediction interval, see predicted value and prediction interval predictive analytics, see data analytics predictive models, see explanatory and predictive models predictive validity, see predictivities (of medical tests) predictivities (of medical tests) predictors pretesting, see pilot study and pretesting prevalence and prevalence rates prevalence studies, see descriptive studies prevented fraction, see attributable risk (AR) fraction primary data, see data sources (primary and secondary) primary sampling unit primordial factors principal components principles of experimentation, see experimentation (statistical principles of) prior probability and posterior probability PRISMA statement probability, see also laws of probability (addition and multiplication) probabilities in clinical assessment probability proportional to size (PPS) sampling probability sample, see sampling techniques proband probit transformation product-limit estimator, see Kaplan–Meier method product-moment correlation, see correlation coefficient (Pearsonian/ product–moment) profile analysis proforma, see questionnaire, schedule and proforma propensity score approach prophylactic trials, see clinical trials proportional hazards, see also Cox regression proportional reduction in error (PRE) proportionate sample proportion-by-probability (P-P) plot proportions prospective studies, see also retrospective studies, case-control studies protective effect protocol (research) and its contents check proximal and distal measures of health and disease, see also primordial factors P-values publication bias purchasing power parity dollars purposive sample, see sampling techniques putative factors
Q Q-Q plot, see quantile-by-quantile (Q-Q) plot Q-test, see Cochran Q-test quadratic regression, see curvilinear regression qualitative measurements, see also quantitative measurements qualitative research, see also focus group discussion quality control in medical care, see also control charts, lot quality assurance scheme quality of data and of measurements, see also fallacies (statistical) quality of life index, see also physical quality of life index quantal assays, see also bioassays quantile-by-quantile (Q-Q) plot quantile regression quantiles, see also percentiles and percentile curves quantitative measurements, see also qualitative measurements quartiles, see quantiles quasi-experimental designs, see also before-after design/ study quasi-random allocation, see random allocation questionnaire, schedule and proforma Quetlet index, see body mass index (BMI) quintiles, see quantiles quota sampling
R radar graph radix, see expectation of life and the life table random allocation, see also block, cluster, and stratified randomization, and minimization random effects, see fixed and random effects random effects ANOVA random errors randomization, see random allocation randomized block design randomized consent design, see Zelen design randomized controlled trials (RCTs) randomized response technique randomness (statistical tests of) random numbers random sampling, see sampling techniques random sampling methods random variables, see variables range, see variation rank correlation ranking and selection ranks rapid assessment method, see cluster sampling Rasch analysis rate rate of homogeneity, see design effect and the rate of homogeneity ratio ratio estimator ratio scale, see scales of measurement (statistical) RCT, see randomized controlled trials (RCTs) recall lapse receiver operating characteristic (ROC) curve, see also C-statistic record linkage, see also medical records records (medical), see medical records reestimation of sample size reference category reference values, see normal range of medical parameters registration of births and deaths, see birth and death registration registration of trials regression coefficients, see also regression models (basics of) regression diagnostics, see regression fit (adequacy of), regression requirements (validation of) regression fit (adequacy of), see also regression models (basics of) regression fitting (general method of), see also regression models (basics of) regression models (basics of), see also regression fitting (general method of) regression requirements (validation of), see also logistic regression (requirements for) regression splines, see spline regression regression to the mean regression trees, see classification and regression trees regressions (types of) regressors (choice of), see also stepwise methods, best subset method of choosing predictors rejection region, see acceptance and rejection regions relative efficiency of estimators relative potency, see also bioassays relative risk (RR) reliability, see also repeatability and reproducibility repeatability and reproducibility, see also reliability repeated measures ANOVA repeated measures studies replicability, see repeatability and reproducibility replication reproducibility, see repeatability and reproducibility reproduction rates (net and gross), see fertility indicators reproductive number (of a disease) resampling research research synthesis, see also systematic reviews, meta-analysis residuals, see also regression models (basics of) residual sum of squares, see error sum of squares response rate response surface response variable, see variables retrospective cohort, see cohort studies retrospective studies, see also cross-sectional studies reverse causation reviews, see systematic reviews ridge regression, see also regression models (basics of) risk difference, see attributable risk risk factors risk ratio, see relative risk robustness ROC curve, see receiver operating characteristic (ROC) curve R2, see multiple correlation runs test for equality of distributions
S sample sample design, see sampling techniques (overall) sample size determination (general principles) sample sizes for odds ratio and relative risk, see also sample sizes for simple situations (mean proportion and differences), sample sizes for statistical analysis methods, sample size for study formats sample sizes for simple situations (mean proportion and differences), see also sample sizes for odds ratio and relative risk, sample sizes for statistical analysis methods, sample size for study formats, sample sizes for statistical analysis methods, see also sample sizes for odds ratio and relative risk, sample sizes for simple situations (mean proportion and differences), sample size for study formats sample size for study formats, see also sample sizes for odds ratio and relative risk, sample sizes for simple situations (mean proportion and differences), sample sizes for statistical analysis methods sample size reestimation, see reestimation of sample size sample surveys SAMPL guidelines sampling (advantages and limitations) sampling distribution of proportion p and mean sampling error/ fluctuations sampling fraction, see sampling terms sampling frame, see sampling terms sampling techniques (overall) sampling terms sampling unit, see sampling terms sampling with and without replacement, see sampling terms scales of measurement (statistical) scalogram analysis, see Guttman scale scatter diagrams scoring systems (method for developing), see also scoring systems for diagnosis and for gradation of severity scoring systems for diagnosis and for gradation of severity, see also scoring systems (method for developing) screening trials, see clinical trials scree plot/ test seasonal trend, see time series secondary data, see data sources (primary and secondary) secular trend, see time series semi-interquartile range, see variation (measures of) sensitivity and specificity sensitivity analysis, see also uncertainty analysis sequential analysis sequential sampling sequential trials, see group sequential designs serial correlation, see autocorrelation sex ratio Shapiro–Francia test Shapiro–Wilk test side effects, see clinical trials (overview) sigmoid curve, see logit signed-ranks test, see Wilcoxon signed-ranks test significance (statistical) significance level, see level of significance, see also significance (statistical) significant digits sign test similarity (statistical, measures of) simple linear regression, see also regression models, multiple linear regression simple matching dichotomy coefficient, see association between dichotomous characteristics (degree of) simple random sampling Simpson paradox simulation studies, see Monte Carlo methods single linkage method of clustering six-sigma methodology skewness and the coefficient of skewness slope (in regression), see simple linear regression slope–ratio assays, see also bioassays Slutzsky–Yule effect small area estimation smoke-pipe distribution smoking index, see Indrayan smoking index smoothing methods, see also spline regression, cubic splines snowball sampling social classification social health (indicators of) Somer d, see association between ordinal characteristics (degree of) Spearman rank correlation, see rank correlation Spearman-Brown formula specificity, see sensitivity and specificity sphericity, see Mauchly test for sphericity spline regression, see also cubic splines split-half consistency, see also consistency spot map spurious correlation, see correlation (the concept of) square table, see contingency table standard deviation standard error (SE), see also sampling distribution of proportion p and mean standardization of values, see Z-scores standardized death rates standardized deviate, see Z-score standardized mortality ratio (SMR) standard normal distribution, see Gaussian probability (how to obtain) STARD statement statistical analysis, see analysis (statistical) statistical fallacies, see fallacies (statistical) statistical inference, see inference (statistical) statistical models, see models (statistical), see also parametric models statistical reviews statistical significance, see significance (statistical) statistics (singular), see also biostatistics stem-and-leaf plot, see histogram stepwise methods, see also best subset method of choosing predictors stillbirth rate/ ratio stochastic processes stochastic variables, see variables stopping rules (for trials), see also O’Brien–Fleming procedure, Lan–deMets procedure stratification, see stratified random sampling stratified analysis, see Mantel–Haenszal procedure stratified randomization, see block, cluster and stratified randomization, and minimization stratified random sampling STROBE statement structural equation models Studentized range, see Tukey test for multiple comparisons Student t-distribution Student t-tests study designs, see designs of medical studies (overview) subjective probability, see probability sum of squares (types of) superiority and noninferiority trials, see equivalence and noninferiority trials surface and internal attributes, see factor analysis surface chart, see response surface surrogate measurement/ variables surveys, see sample surveys survival analysis, see also survival curve/ function survival bias, see bias in medical studies and their minimization survival curve/ function, see also Kaplan–Meier method survival rate, see also survival analysis symmetric distribution, see skewness and the coefficient of skewness synergism, see interaction synoptic chart, see Lexis diagram synthesis of research, see research synthesis, see also meta–analysis systematic random sampling systematic reviews, see also Cochrane collaboration/ reviews
T tabular presentation of data and results t-distribution, see Student t-distribution Taguchi designs Tanimoto dichotomy coefficient, see association between dichotomous categories characteristics (degree of) tapping target population, see population (the concept of) Tarone–Ware test, see also log-rank (Mantel–Cox) test telephone sampling tertiles, see quantiles test criterion tests of hypothesis (philosophy of) tests of significance, see also tests of hypothesis (philosophy of) test-retest reliability test statistic, see test criterion tetrachoric correlation thematic maps, see also chroplethic map therapeutic trials, see clinical trials 30×7 sampling, see cluster sampling three-dimensional diagrams, see also response surface three-way tables, see chi-square for three-way contingency tables three-sigma limits, see also six-sigma methodology ties in values, see ranks time-dependent covariate, see Cox regression time series, see also periodogram, autoregressive moving average (ARMA) models titration study T-max, see pharmacokinetic parameters (Cmax, Tmax) and pharmacokinetic studies tolerance interval total fertility rate, see fertility indicators tracking transformations trend trials, see clinical trials trimmed mean triple blinding, see blinding trivariate distribution truncated values/ distributions T-score, see also Z-score Tschuprow coefficient, see association between polytomous characteristics (degree of) t-test, see Student t-test Tukey test for additivity Tukey test for multiple comparisons, see also multiple comparisons twin studies two-by-two tables two one-sided tests (TOSTs), see equivalence, superiority and inferiority tests two-phase sampling two-sided alternative, see one- and two-tailed alternatives/ tests two-way ANOVA, see also analysis of variance (ANOVA) two-way designs, see also one-way designs two-way tables, see contingency tables Type-I error, see level of significance Type-II error, see also power (statistical) and power analysis Type-III error
U unbalanced design, see balanced and unbalanced design unbiased estimator unbiased sample, see biased sample uncertainties, see aleatory uncertainties, epistemic uncertainties, medical uncertainties, parameter uncertainty uncertainty analysis, see also sensitivity analysis uncertainty principle, see also equipoises under-5 mortality rate, see mortality rates uniform distribution union and intersection of events, see Venn diagrams unit (statistical) univariate analysis universe (statistical), see population (the concept of) UPGMA method of clustering, see average linkage method of clustering unweighted mean, see weighted mean up-and-down trials U-shaped curve, see also bathtub curve/distribution U-test, see Wilcoxon signed-ranks test
V vaccine trials, see clinical trials validation sample/ study, see also validity, robustness validity, see also validity (types of) validity (types of) variability, see variation (measures of) variables variable selection, see stepwise methods, regressors (choice of), best subset method of choosing predictors variance, see standard deviation, confidence interval (CI) for variance variance components analysis variance-covariance matrix, see dispersion matrix variance inflation factor variance ratio, see also F-test variance stabilizing transformation variation (measures of), see also coefficient of variation varimax rotation velocity of growth in children Venn diagrams visual display (of data), see graphs and diagrams vital statistics volunteers-based studies
W waist–hip ratio, see also obesity (measures of) Wald test Ward method of clustering, see also cluster analysis washout period, see crossover design Weibull distribution weighted least squares weighted mean Welch test WHO growth charts Wilcoxon rank-sum test Wilcoxon signed-ranks test Wilks lambda (L) Wilson interval Winsorized mean, see trimmed mean Wishart distribution worm plots, see quantile-by-quantile plot
X
Y Yates correction for continuity years of life lost, see potential years of life lost (PYLL) Youden index, see also receiver operating characteristic (ROC) curve Yule Q, see association between dichotomous characteristics (degree of)
Z Zelen design Zelen test zero-inflated models Z-score z-test