Index

The index that appeared in the print version of this title was intentionally removed from the eBook. Please use the search function on your eReading device to search for terms of interest. For your reference, the terms that appear in the print index are listed below.

A

active control group

addition, general rule of

adjusted standardized residual

allocation ratio

alpha (α)

alternative hypothesis (Ha)

analysis of variance (ANOVA)

assumptions

equal variance assumption

F-statistic

mean square between

mean square within

multiple regression

null/alternative hypotheses

P-value

post hoc comparisons

regression

ANOVA table

area under the curve

arithmetic average

assumed value of p is wrong explanation

asymmetrical distributions

attribute variables

average

average risk

axis multiplier

B

back-to-back stemplots

bar charts

baseline relative risk

Bayes’ theorem

Bernoulli trials

beta (β)

bias

confounding

nonresponse

selection

survey

volunteer

biased selection explanation

bimodal distributions

BINOMDIST

binomial coefficient

binomial probabilities

binomial probability distributions

binomial random variables

expected value and variance of

calculating binomial probabilities

cumulative probabilities

judgment, and

probability calculators

binomial probability mass functions (pmfs)

binomial random variables

expected value and variance of

probability mass function for

biostatistics

bivariate Normality

blinding

Bonferroni’s method

Bound for Glory (Guthrie)

box-and-whiskers plots (boxplots)

boxplots. See box-and-whiskers plots

C

Cargo Cult science

case–control sample

data

hypothesis test

matched-pair table for

multiple levels of exposure

odds ratio

case–referent samples. See case–control sample

categorical explanatory variables in regression models

categorical measurements

cdf. See cumulative distribution function

census

central limit theorem

central location

comparison

mean

median

mode

ceteris paribus

chance explanation

Chebychev’s rule

chi-square distributions

chi-square statistics

chi-square table

chi-square test

of association

hypotheses

P-value

test statistic

equivalence

for statistical interaction

choose function

class-interval frequency table

class intervals

cluster

cluster samples

coefficient of determination (r2)

coefficient of variation (CV)

cohort sample

coin flips

column percents

common logarithm

comparative studies

blinding

confounding

ethics

experimental studies

explanatory variable and response variable

factors and treatments

nonexperimental studies

observational studies

random assignment of treatments

comparing independent means

equal variance t procedure

exploratory and descriptive statistics

inference about the mean difference

minimal detectable difference

paired vs. independent samples

power

sample size

comparing several means

ANOVA. See analysis of variance

Bonferroni’s method

descriptive statistics

equal variance assumption

Kruskal–Wallis test

least squares difference method

Levene’s test

non-Normality/unequal variance

nonparametric tests

post hoc comparisons

problem of multiple comparisons

comparing two proportions. See also inference about a proportion

data

hypothesis test

notation

power

proportion difference

proportion ratio

sample size

systematic sources of error

complement

concordant pairs

conditional percents

conditional probability

conditions for inference

confidence

confidence intervals

general formula

hypothesis testing, and

inference about a mean

inference about a proportion

length

Mantel–Haenszel methods

margin of error

95% confidence interval

for odds ratio

other levels of confidence

population correlation coefficient

population slope

random sampling error

reasoning behind

relative risk

for risk difference

sample size

schematic

and test

what confidence means

width of interval

confidence level of confidence interval

confidence limit for odds ratio

confounded correlation

confounders

confounding

contagious events

contingency table

continuity-corrected (Yates’) chi-square statistic

continuity correction

continuous probability distributions

continuous random variables

continuous variable

controlled trials

correlation

bivariate Normality

causation

conditions for inference

confounded

data

direction

examples

influential observations

linear relations

outliers

population correlation coefficient

reversible relationship

scatterplot

strength

correlation coefficient (r)

slope coefficient and

correlation matrix

counts

critical value

cross-product ratio

cross-sectional sample

cross-tabulated counts

case–control samples

chi-square test of association

cohort samples

conditional percents

continuity-corrected (Yates’) chi-square statistic

marginal percents

matched pairs. See matched pairs

naturalistic sample

odds ratio

ordinal explanatory variable

ordinal response variable

Pearson’s chi-square statistic

purposive cohort sample

R-by-C contingency table

residuals

test for trend

crude relative risk

cumulative distribution function (cdf)

cumulative frequency

cumulative incidence

cumulative probabilities

for standard normal random variable

CV. See coefficient of variation

D

data collection form

data quality

meaningful measurements

measurement inaccuracies types

data table

de Moivre, Abraham

degrees of freedom (df)

degrees of freedom between

degrees of freedom within

DELTA

dependent variable

depth

descriptive statistics

deviation

difference worth detecting

differential misclassification

direction of association

discordant pairs

discrete random variables

disjoint events

distributional shape

Doll, Richard

dotplot

double-blinded study

drop-out rate

dummy variable

E

endpoint conventions

equal variance (homoscedasticity)

equal variance assumption

equal variance t-procedure

equipoise

estimated standard error of the risk difference

estimation

ethics

event

exact binomial method

exact confidence interval

exact tests

comparing two proportions

inference about a proportion

matched pairs

expected frequencies

expected value

expected z-scores

experimental studies

explanatory variable

exploratory plots

exploratory statistics

exposure score

F

F-distributions

F-statistic

factorial function

factors

false-positive rate

family-wise error rate

Farr, William

fences

Feynman, Richard

Fisher, R. A.

Fisher’s exact test

Fisher’s tea challenge

five-point summary

form

frequency

frequency charts

frequency distribution

bar charts

class-interval frequency table

frequency polygons

frequency table

histograms

pie charts

stem-and-leaf plot. See stemplot

frequency polygons

frequency table

G

garbage in, garbage out (GIGO)

Gauss, Johann Carl Friedrich

Gaussian distribution. See also normal probability distributions

general rule of addition

general rule of multiplication

GIGO. See garbage in, garbage out

ginkgo and memory enhancement

Gosset, William Sealy

grand mean

gravitational center

group variance, assessing

grouped data, class-interval frequency table

H

health insurance coverage

hepatitis C virus (HCV) trial

heterogeneity test

heteroscedasticity

hinge method

hinge spread

hinges

histograms

homoscedasticity

hypertension trial

hypothesis testing

alpha (α)

alternative hypothesis (Ha)

beta (β)

case–control samples

confidence

and confidence interval

exact test

mid-P method

normal approximation method

Normality assumption

null hypothesis

one-sample z-test

P-value

paired samples

power (1–β)

sample size

significance level and conclusion

steps in process

test statistic

type I error

type II error

z-statistic

z-test

hypothetical population

I

imprecision

inaccuracies measurement

incidence

incidence density sampling

incidence (risk) differences

incidence proportions

independence, sampling

independent events

independent samples

independent t-procedures

independent t-test

independent variable

indicator variable

“INE”

infer population

inference. See statistical inference

inference about a mean

conditions for

confidence interval

degree of freedom

one-sample t-test

paired samples. See paired samples

power

sample size

for confidence interval

for hypothesis test

standard error of mean

Student’s t-distributions

inference about a proportion. See also comparing two proportions

confidence interval

exact binomial method

Fisher’s exact test

hypothesis test

incidence proportions

mid-P test

normal approximation method

plus-four method

power

prevalence proportions

sample size requirements

sampling distribution of proportion

inference about the mean difference

influential observations

information bias

inside values

institutional review boards (IRBs)

interaction

intercept

interquartile range (IQR)

intersect

interval estimation

IQR. See interquartile range

IRBs. See institutional review boards

Irish healthcare websites

J

judgment about observed number of cases

K

Kruskal–Wallis test

kurtosis

L

Laplace, Pierre-Simon

law of large numbers

LCL. See lower confidence limit

least squares difference (LSD) method

least squares method

least squares regression line

leptokurtic

levels of confidence. See confidence intervals

Levene’s test

“line”

linear

linearity

location

logarithmic transformations

logarithms

lower confidence limit (LCL)

lower inside value

lower outside values

LSD method. See least squares difference method

lurking factors

lurking variables

M

Mantel–Haenszel methods

effect, summary measure of

test statistic

Mantel–Haenszel procedure

Mantel–Haenszel summary odds ratio

Mantel–Haenszel summary relative risk

Mantel–Haenszel test statistic

margin of error

marginal distributions

marginal percents

matched pairs

concordant/discordant pairs

confidence interval

data

hypothesis test

exact test

normal approximation method

odds ratio

matching

mathematical transforms

McNemar test

mean

of binomial random variable

from frequency table

functions

mean square between (MSB)

mean square regression

mean square residual

mean square within (MSW)

meaningful measurements

measurement

of central location. See central location

data organization

data quality

defined

scales types

median

mesokurtic

mid-P test

minimal detectable difference

modality

mode

moderate negative correlation

moderate positive correlation

MRFIT. See Multiple Risk Factor Intervention Trail

MSB. See mean square between

multinomial sample

multiple coefficient of determination (R2)

multiple correlation coefficient (R)

multiple linear regression

ANOVA

basic concepts

conditions

dependent/independent variables

indicator/dummy variables

mean square regression

mean square residual

multiple coefficient of determination

multiple correlation coefficient

regression coefficients

response plane

response surface

SPSS

standard error of multiple regression

multiple regression

Multiple Risk Factor Intervention Trail (MRFIT)

multiplication, general rule of

multistage sampling techniques

N

natural logarithms

naturalistic samples

negative correlation

negative skew

Q-Q plots

95% confidence interval

nominal variables

non-Normality, comparing group means

nondifferential misclassification

nonexperimental studies

nonparametric tests

Kruskal–Wallis test

nonresponse bias

nonuniform class intervals

normal approximation method

normal approximation to the binomial

Normal probability distributions

area under the curve

characteristics

defining mathematical function

departures from Normality

finding values corresponding to

heuristic example

mean

points of inflection

probabilities for Normal random variables ranges

Q-Q plots

reexpression

68–95–99.7 rule

standard deviation

Standard Normal table

standardizing values

tails of

z-scores

Normal probability (Q-Q) plot

normal random variable, cumulative probabilities for

Normal rule

normality

Normality assumption

null hypothesis (H0)

numeric variable

O

objectivity

observation

observational studies

observed frequencies

odds

odds in group

odds ratio

(1 − α)100% confidence interval for μ1μ2

one-sample t-test

one-sample z-test

one-sided alternative hypothesis

one-way ANOVA. See also analysis of variance (ANOVA)

ordered array

ordinal explanatory variable

ordinal measurements

ordinal response variable

outliers

outside values

P

P-value

paired samples

confidence interval for μd

data

exploration and description

hypothesis test

parameters

pdf. See probability density functions

Pearson’s chi-square statistic

perfect negative correlation

perfect positive correlation

pie charts

placebo

placebo effect

platykurtic distribution

plus-four method

pmf. See probability mass function

point estimation

point estimator

points of inflection

poliomyelitis trial

pooled degrees of freedom

pooled estimate of standard error (SEpooled)

pooled estimate of variance

pooled variance t-procedure

population

population correlation coefficient (r)

confidence interval for

statistical inference

population regression model

population slope

positive correlation

positive skew

Q-Q plots

post hoc comparisons

Bonferroni’s method

least squares difference method

power

comparing independent means

comparing two proportions

inference about a mean

inference about a proportion

inference about mean

Pr(A)

precise

predicted Y

predictive value of positive test

prevalence

prevalence differences

prevalence proportion

prevalence ratio

probability

area under the curve

basic principles

Bayes’ theorem

calculators

complement

conditional probability

continuous probability distributions

disjoint events

general rule of addition

general rule of multiplication

independent events

pdf

pmf

properties of

range of possible probabilities

repetitive process

terminology/notation

total probability

total probability rule

probability density functions (pdf)

probability distributions. See also binomial probability distributions; Normal probability distributions

probability mass function (pmf)

probability samples

problem of multiple comparisons

problem of multiplicity. See problem of multiple comparisons

proportion difference

confidence interval

point estimate

sampling distribution

proportion ratio

proportions. See also comparing two proportions; inference about a proportion

sampling distribution of

purposive cohort sample

Q

Q1 (quartile 1; lower hinge)

Q3 (quartile 3; upper hinge)

Q-Q plots

histogram and

of standardized residuals

qualitative variables

quantitative measurements

quartiles

five-point summary

interquartile range

range

R

R-by-C contingency table

R-by-two table

random-digits

dialing technique

tables of

random error

random sample

random variables

continuous

discrete

table entries with

randomization

randomized controlled trial

range

rank tests

ratio/interval measurement

reexpression

regression

ANOVA

conditions for inference

data

intercept

multiple. See multiple linear regression

population regression model

population slope

slope

standard error of regression

standard error of the slope

t-test of slope coefficient

regression coefficients

regression line

regression model, components

regression sum of squares

relative frequency

relative risk (RR)

confidence interval for

vs. risk difference

repetitive process

residual

residual plot

residual sum of squares

resistant, median

response line

response plane

response surface

response variable

restriction

right-tail probability, table entries with

risk

risk difference

relative risk vs.

risk multiplier

risk ratio

root mean square residual

row percents

RR. See relative risk

S

sample

size, effect of increasing

types of

sample correlation coefficient (r)

sample population

sample size requirements

comparing independent means

comparing two proportions

equal

unequal group

confidence interval for mean

inference about a mean

inference about a proportion

one-sample z-test

sample space

sampling behavior of a mean

sampling behavior of count and proportion

sampling distribution

sampling distribution of a mean

sampling distribution of a risk difference

sampling distribution of means

sampling distribution of proportion

sampling fraction

sampling frame

sampling independence

sampling variability

sampling with replacement

sampling without replacement

scale variable

scatterplot

selection bias

sensitivity

SEpooled

shape

side-by-side boxplots

significance level

significance testing. See hypothesis testing

simple random sample (SRS)

simple regression. See also regression

Simpson’s paradox

single-blinded study

single samples

68-95-99.7 rule

skew

skewed distributions

slope

coefficient vs. correlation coefficient

specificity

splitting stem values

spread

five-point summary

IQR

range

standard deviation

variance

SPSS screenshot

ANOVA output

cholesterol

Kruskal–Wallis test

Levene’s test

square root law

squared deviations

SRS. See simple random sample

SS. See sum of squares

standard deviation

standard error of mean

standard error of the mean difference

standard error of the multiple regression

standard error of the proportion difference

standard error of the regression

standard error of the risk difference

standard error of the slope

standard errors

standard Normal curves, confidence levels on

Standard Normal random variable

cumulative probabilities for

Standard Normal table

standardized coefficients

standardized residual

standardizing values

StaTable

statistical independence

statistical inference

Normal approximation to the binomial

parameters and statistics

sample size, effect of increasing

sampling behavior of a mean

sampling behavior of count and proportion

sampling distribution of a mean

sampling variability

simulation experiment

statistical interaction

chi-square test for

statistical population

statistics

Std. Error of the Estimate

stemplot

axis multiplier

back-to-back

balancing point

construction of

defined

frequency counts from

how many stem values?

illustrative examples

location

shape

splitting stem values

spread

strata

strata-specific statistics

stratification

stratified random sample

stratified two-by-two tables

confounding

interaction

Mantel–Haenszel methods

Simpson’s paradox

stratum-specific notation

strength

strong negative correlation

strong positive correlation

student weights

Student’s t-distributions

studies, types. See types of studies

subject

sum of squares (SS)

sum of squares between (SSB)

sum of squares within (SSW)

summary statistics

boxplots

comparison

mean

median

mode

selection of

spread

quartiles

variance and standard deviation

surveys

probability samples

SRS

tables of random digits

switching group designations

symmetrical distributions

symmetry

systematic error. See also bias

systematic heterogeneity

T

t-distribution

t-percentiles

t-probability density function

t-procedures

t-statistic

t-test of slope coefficient

tables of random digits

test statistic

total probability rule

treatment

random assignment of

trials

triple-blinded studies

truncating leaf values

Tukey, John Wilder

Tukey’s hinges

two-by-two cross tabulation

two forms of measurement errors

two-sample t-procedures

two-sided alternative hypothesis

two tails of z-statistics

type I error

type II error

types of studies

comparative studies

overview

surveys

U

UCL. See upper confidence limit

unbiased estimator, sample mean

undercoverage

unequal variance t-procedure

unimodal distributions

units squared

unstandardized residual

upper confidence limit (UCL)

upper inside value

upper outside value

V

valid

values

variability

variable

variance

of binomial random variable

variance between groups

variance within groups

Venn diagram

Visual Display of Quantitative Information, The (Tufte)

volunteer bias

W

Wechsler Adult Intelligence Scale (WAIS)

sampling distribution of a mean

standard error of the mean and sample size

WHI. See Women’s Health Initiative

whisker spread

whiskers

Wilson score test

WinPepi

data-entry screen

screenshot

annotated output

interactive statistic

Kayexelate® and colonic necrosis

Mantel–Haenszel test statistics

power program

sample size program

stratified table analysis

WinPepi’s PAIRSetc program

Women’s Health Initiative (WHI)

postmenopausal hormone use trial

study design

X

X ∼ b(n, p)

Y

Yates’ chi-square statistic

Youth Risk Behavior Surveillance (YRBS)

Z

Z-distribution

z-percentile

z-procedures

z-scores

z-statistic

z table

z-tests

equivalence of

of independent proportions

of proportion

TWO TAILS OF Z. Entries in the table represented two-tailed P-values for absolute values of z statistics. This table can also be used to convert chi-square statistics with one degree of freedom to P-values: merely look up the square root of the χ21 and look up the P-value accordingly.

tab

Probabilities computed with Microsoft Excel 9.0 “=2*(1−NORMSDIST(z))” function.

Tables entries represent t critical values.

tab