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Statistics COT 703
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279
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Graduate
10/05/2008

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Cards

Term
 
 
 
 
Dependent variable
Definition

 

 

 

 

a variable that researchers hypothesize occurred after, and as a result of, another variable (called the independent variable)

 

e.g. height depends, in part, on gender

 

 

 

 

Term

 

 

 

 

absolute/raw distribution

Definition
Term

 

 

 

accuracy

Definition
Term
 
 
 
 
alpha
Definition
Term

 

 

 

 

ANOVA

Definition
Term

 

 

 

 

 

ANOVA column

Definition
Term

 

 

 

 

 

ANOVA cell

Definition
Term

 

 

 

 

 

 

ANOVA row

Definition
Term

 

 

 

 

 

APA style

Definition
Term

 

 

 

 

 

assignable/attributable error

Definition
Term

 

 

 

 

 

assumption

Definition
Term

 

 

 

 

 

asymptotic

Definition
Term

 

 

 

 

 

attenuation

Definition
Term

 

 

 

 

 

attribute

Definition
Term

 

 

 

 

 

average

Definition
Term

 

 

 

 

 

axis

Definition
Term

 

 

 

 

 

balanced design

Definition
Term

 

 

 

 

 

bar chart

Definition
Term

 

 

 

 

 

beta

Definition
Term

 

 

 

 

 

between groups SS

Definition
Term

 

 

 

 

 

bias

Definition
Term

 

 

 

 

 

biased estimate

Definition
Term

 

 

 

 

 

bimodal

Definition

 

 

 

 

A distribution that has two values that have the highest frequency of scores

 

Term

 

 

 

 

 

binomial distribution

Definition
Term

 

 

 

 

 

bivariate

Definition
Term

 

 

 

 

 

case

Definition

 

 

 

In qualitative research, a particular instance of a phenomenon that is selected for study

Term

 

 

 

 

 

causal-comparative

Definition

 

 

 

a type of quantitative investigation that seeks to discovery possible causes and effects of a personal characteristic or behavior pattern by comparing individuals in whom it is  present with individuals in whoem it is absent or present to a lesser degree

Term

 

 

 

 

 

causation

Definition
Term

 

 

 

 

 

central tendency

Definition

 

 

 

the score that reflects the most representative or typical score in a distribution

Term

 

 

 

 

 

characteristic

Definition
Term

 

 

 

 

 

Chi square

Definition

 

 

 

a nonparametric test of statistical significance that is used when the research data are in the form of frequency counts for two or more categories

Term

 

 

 

 

 

class interval

Definition
Term

 

 

 

 

 

coefficient of determination

Definition
Term

 

 

 

 

 

compute a variable

Definition
Term

 

 

 

 

 

confidence interval

Definition
Term

 

 

 

 

 

construct validity

Definition

 

 

the extent to which a test can be shown to measure a particular psychological characteristic

Term

 

 

 

 

 

 

content validity

Definition

 

 

the extent to which the items in a test represent the domain of content that the test is designed to measure

Term

 

 

 

 

 

continuous data

 

 

 

 

 

Definition
Term

 

 

 

 

 

correlation

Definition
Term

 

 

 

 

 

correlation test

Definition
Term

 

 

 

 

 

covariance

Definition
Term

 

 

 

 

 

criterion validity

Definition
Term

 

 

 

 

 

critical region

Definition
Term

 

 

 

 

 

critical value

Definition
Term

 

 

 

 

 

cross tabulation

 

 

 

 

 

Definition
Term

 

 

 

 

 

cumulative distribution

Definition
Term

 

 

 

 

 

cumulative relative distribution

Definition
Term

 

 

 

 

 

curve

Definition
Term

 

 

 

 

 

curvilinear

Definition
Term

 

 

 

 

 

datum

Definition
Term

 

 

 

 

 

decile

Definition
Term

 

 

 

 

 

delimitation

Definition
Term

 

 

 

 

 

dependent groups

Definition
Term

 

 

 

 

 

descriptive statistics

Definition

 

 

 

 

mathematical techniques for organizing, summarizing, and displaying a set of numerical data

 

Statistics used to describe the characteristics of a distribution of scores

Term

 

 

 

 

 

deviation score

Definition
Term

 

 

 

 

 

df

Definition
Term

 

 

 

 

 

dichotomous data

Definition
Term

 

 

 

 

 

directional test

Definition
Term

 

 

 

 

 

discrete data

Definition
Term

 

 

 

 

 

 

dispersion

Definition
Term

 

 

 

 

 

effect size

Definition

 

 

 

 

an estimate of the magnitude of a difference or relationship in the population represented by a sample

Term

 

 

 

 

 

empirical

Definition
Term

 

 

 

 

 

error

Definition
Term

 

 

 

 

 

estimate

Definition
Term

 

 

 

 

 

evaluation

Definition
Term

 

 

 

 

 

experiment

Definition

 

 

 

 

a type of quantitative investigation that involves the manipulation of a treatment that is presumed to affect the dependent variable, to whose performance the control group's performance is compared

Term

 

 

 

 

 

experimental/research design/methodology

Definition

 

 

 

 

 

A type of research in which the experimenter, or researcher, manipulates certain aspects of the research.  These usually include manipulations of the independent variable and assignment of cases to groups.

Term

 

 

 

 

 

experimenter bias

Definition
Term

 

 

 

 

 

external validity

Definition

 

 

 

the extent to which the results of a research study can be generalized to individuals and situations beyond those involved in the study

Term

 

 

 

 

 

f distribution

Definition
Term

 

 

 

 

 

F-test

Definition
Term

 

 

 

 

 

F-ratio

Definition
Term

 

 

 

 

 

fact

Definition
Term

 

 

 

 

 

factor

Definition

 

 

 

 

a mathematical expression of a feature shared by a particular subset of quantitative variables that have been correlated

Term

 

 

 

 

 

family/experiment-wise error rate

Definition
Term

 

 

 

 

 

finite

Definition
Term

 

 

 

 

 

frequency distribution

Definition
Term

 

 

 

 

 

frequency

Definition

 

 

 

the total number of individuals in a sample who fit a particular category

Term

 

 

 

 

 

Gaussian distribution

Definition
Term

 

 

 

 

 

generalizability

Definition

 

 

 

 

The ability to use the results of data collected from a sample to reach conclusions about the characteristics of the population, or any other cases not included in the sample

Term

 

 

 

 

 

grouped data

Definition
Term

 

 

 

 

 

halo effect

Definition
Term

 

 

 

 

 

harmonic mean

Definition
Term

 

 

 

 

 

Hawthorn effect

Definition
Term

 

 

 

 

 

histogram

Definition
Term

 

 

 

 

 

homogenaity of variance

Definition
Term

 

 

 

 

 

homoscedasticity

Definition
Term

 

 

 

 

 

horn effect

Definition
Term

 

 

 

 

 

hypergeometric distribution

Definition
Term

 

 

 

 

 

hypothesis

Definition

 

 

the researchers' prediction, derived from a theory or from speculation, about how two or more measured variables, will be related to each other

Term

 

 

 

 

 

independent variable

Definition

 

 

 

 

a variable that researchers hypothesize occurred before, and had an influence on, another variable (called the dependent variable)

 

Independent variables are often, but not always, manipulated by the researcher

Term

 

 

 

 

 

independent groups

Definition
Term

 

 

 

 

 

independent t-test

Definition
Term

 

 

 

 

 

inferential statistics

 

 

 

 

 

Definition

 

 

 

a set of statistics that enable researchers to make inferences about a population based upon the descriptive statistics that are calculated from data for a sample drawn from the population

Term

 

 

 

 

 

instrument

Definition
Term

 

 

 

 

 

internal consistency reliability

Definition
Term

 

 

 

 

 

internal consistency reliability

Definition
Term

 

 

 

 

 

interval data

Definition
Term

 

 

 

 

 

interval estimation

Definition
Term

 

 

 

 

 

item analysis

Definition
Term

 

 

 

 

 

item discrimination

Definition
Term

 

 

 

 

 

kurtosis

Definition
Term

 

 

 

 

 

layer

Definition
Term

 

 

 

 

 

leptokurtic

Definition
Term

 

 

 

 

 

level

Definition
Term

 

 

 

 

 

limitation

Definition
Term

 

 

 

 

 

line graph/chart

Definition
Term

 

 

 

 

 

linear

Definition
Term

 

 

 

 

 

main effect

Definition
Term

 

 

 

 

 

Mann-Whitney

Definition

 

 

 

a nonparametric test of statistical significance that is used to determine whether the observed difference between the distribution of scores for each of two groups on a measured variable is statistically significant

Term

 

 

 

 

 

margin of error

Definition
Term

 

 

 

 

 

mean

Definition

 

 

 

a measure of central tendency corresponding to the average of a set of scores

 

the arithmatic average of a distribution of scores

Term

 

 

 

 

 

mean square

Definition
Term

 

 

 

 

 

measure

Definition
Term

 

 

 

 

 

measurement

Definition
Term

 

 

 

 

 

median

Definition

 

 

 

a measure of central tendency corresponding to the average of a set of scores

 

the score in a distribution that marks the 50th percentile.  It is the score at which 50% of the distribution falls below and 50% falls above.

Term

 

 

 

 

 

metrology

Definition
Term

 

 

 

 

 

midpoint

Definition
Term

 

 

 

 

 

missing value

Definition
Term

 

 

 

 

 

mode

Definition

 

 

 

a measure of central tendency corresponding to the most frequently occurring score in a distribution of scores

Term

 

 

 

 

 

model

Definition
Term

 

 

 

 

 

mu

Definition

 

 

 

 

μ

 

 

Term

 

 

 

 

 

n and N

Definition
Term

 

 

 

 

 

negative skew

Definition

 

 

 

In a skewed distribution, when most of the scores are clustered at the higher end of the distribution with a few scores creating a tail at the lower end of the distribution

Term

 

 

 

 

 

nominal/categorical data

Definition

 

 

 

 

A variable in which the numerical values assigned to each category are simply labels rather than meaningful numbers

Term

 

 

 

 

 

non directional test

Definition
Term

 

 

 

 

 

non parametric

Definition

 

 

mathematical techniques for analyzing scores that do not involve assumptions about their distribution or form

Term

 

 

 

 

 

normal error

Definition
Term

 

 

 

 

 

normal curve

Definition

 

 

 

a distribution of scores that forms a symmetrical, bell-shaped curve when plotted on a graph

Term

 

 

 

 

 

normal score

Definition
Term

 

 

 

 

 

null hypothesis

Definition

 

 

 

 

 

the prediction that an observed result for a sample is a chance finding

Term

 

 

 

 

 

obtained score/value

Definition
Term

 

 

 

 

 

one-sample t-test

Definition
Term

 

 

 

 

 

one-tailed test

Definition
Term

 

 

 

 

one-way ANOVA

 

 

 

 

 

Definition
Term

 

 

 

 

 

ordinal data/variable

Definition

 

 

 

 

 

Variables measured with numerical values where the numbers are meaningful (e.g., 2 is larger than 1) but the distance between the numbers is not constant

Term

 

 

 

 

 

p value

Definition
Term

 

 

 

 

 

p-test

Definition
Term

 

 

 

 

 

pair-wise error rate

Definition
Term

 

 

 

 

 

paired t-test

Definition
Term

 

 

 

 

 

parameter

Definition

 

 

 

 

a statistic that applies to the entire population rather than just to a sample

Term

 

 

 

 

 

parametric

Definition

 

 

 

mathematical techniques for analyzing scores that involve particular assumptions about their distribution and form

Term

 

 

 

 

 

Pareto diagram

Definition
Term

 

 

 

 

 

Pearson production moment

Definition
Term

 

 

 

 

 precentile score

 

Definition

 

 

 

 

a type of rank score that represents a given raw score on a measure as the percentage of individuals in the sample or norming group whose score falls at or below that score

Term

 

 

 

 

 

percentile rank

Definition
Term

 

 

 

 

 

percentile

Definition
Term

 

 

 

 

 

philosophy

Definition
Term

 

 

 

 

 

pie chart

Definition
Term

 

 

 

 

 

platykurtic

Definition
Term

 

 

 

 

 

point estimation

Definition
Term

 

 

 

 

 

Poisson distribution

Definition
Term

 

 

 

 

 

population

Definition

 

 

 

 

The group from which data are collected or a sample is selected.  The population encompasses the entire group for which the data are alleged to apply

Term

 

 

 

 

 

population mean

Definition
Term

 

 

 

 

 

positive skew

Definition

 

 

 

 

In a skewed distribution, when most of the scores are clustered at the lower end of the distribution with a few scores creating a tail at the higher end of the distribution

Term

 

 

 

 

 

power

Definition
Term

 

 

 

 

 

skew

Definition

 

 

a distortion in what is actually a central point in the set or distribution of scores

 

 

 

When a distribution of scores has a high number of scores clustered at one end of the distribution with relatively few scores spread out toward the other end of the distribution, forming a tail.

Term
shared variance
Definition
Term
score
Definition
Term
scientific method
Definition
Term
scholarship
Definition
Term
scatterplot
Definition
Term
scale
Definition

 

 

 

an instrument that measures personal characteristics by totaling the individual's responses to items having a fixed number of response options

Term

 

 

 

 

sampling distribution

Definition
Term

 

 

 

 

sample mean

Definition
Term

 

 

 

 

sample

Definition

 

 

 

 

 

An individual or group, selected from a population, from whom or which data are collected

Term

 

 

 

 

sample size

Definition
Term

 

 

 

rho

Definition
Term

 

 

 

 

review of literature

Definition
Term

 

 

 

 

 

research

Definition
Term

 

 

 

 

research substantive question

Definition
Term

 

 

 

(research) problem

Definition
Term

 

 

 

 

repeatability

Definition
Term

 

 

 

reliability

Definition

 

 

 

a measure of the extent to which a test or other measure is free of measurement error

Term

 

 

 

 

relative distribution

Definition
Term

 

 

 

 

reject region

Definition
Term

 

 

 

 

regression toward the mean

Definition
Term

 

 

 

 

 

regression constant

Definition
Term

 

 

 

 

regression weight

Definition
Term

 

 

 

 

regress

Definition
Term

 

 

 

 

recode a variable

Definition
Term

 

 

 

 

raw score

Definition
Term

 

 

 

 

 

ratio data

Definition
Term

 

 

 

 

range

Definition

 

 

 

 

The difference between the largest score and the smallest score of a distribution

Term

 

 

 

 

randomization

Definition
Term

 

 

 

 

random

Definition
Term

 

 

 

 

random sampling

Definition

 

 

 

 

Selecting cases from a population in a manner that ensures each member of the population has an equal change of being selected into the sample

Term

 

 

 

 

random error

Definition
Term

 

 

 

 

 

quartile

Definition
Term

 

 

 

 

quantitative

Definition

 

 

 

inquiry that is grounded in the assumption that features of the social environment constitute an objective reality that is relatively constant across time and settings; the dominant methodology for studying these features is to collect numerical data on the observable behavior of samples and subject them to statistical analysis

 

Term

 

 

 

 

qualitative variable

Definition

 

 

 

 

 

A variable that has discrete categories.  If the categories are given numerical values, the values have meaning as nominal references but not as given numerical values

 

e.g., in 1 = "male" and 2 = "female", 1 is not more or less than 2

Term
proposal
Definition
Term
proportion
Definition
Term
probability
Definition
Term
pretest-posttest design
Definition
Term
prediction
Definition
Term
prediction error
Definition
Term
precision
Definition
Term
practical significance
Definition
Term
slope
Definition
Term
Solomon four-group design
Definition
Term
Spearman rank order
Definition
Term
squared deviation score
Definition
Term
stacked bar chart
Definition
Term
standard score
Definition
Term
standard deviation of sample means
Definition
Term

 

 

 

 

 

standard deviation

Definition

 

 

 

 

 

The average deviation between the individual scores in the distribution and the mean for the distribution

Term
standard error of prediction
Definition
Term
standard error of the estimate
Definition
Term
statement of purpose
Definition
Term

 

 

 

 

 

statistic

Definition

 

 

 

 

A value derived from the data collected from a sample

 

a characteristic, or value, derived from sample data

Term
statistical question
Definition
Term
statistical significance
Definition
Term
stratified sampling
Definition
Term
string variable
Definition
Term
subject
Definition
Term
substantive conclusion
Definition
Term
summation
Definition
Term

 

 

 

 

sums of squares

 

of

 

sum of squared deviations

Definition

 

 

 

 

The sum of each squared deviation for all of the cases in the sample

Term
synthesis
Definition
Term
t-test
Definition
Term
test blueprint
Definition
Term
test plan
Definition
Term
test
Definition
Term
theory
Definition
Term
transformed score
Definition
Term
treatment
Definition
Term
true score
Definition
Term
Tukey
Definition
Term
two-tailed test
Definition
Term
Type II error rate
Definition
Term
Type I error rate
Definition
Term
unbiased estimate
Definition
Term
univariate
Definition
Term
utility
Definition
Term
validity
Definition
Term
value of zero
Definition
Term
value
Definition
Term
variable name
Definition
Term
variable value label
Definition
Term
variable value
Definition
Term
variable description
Definition
Term

 

 

 

 

variance

Definition

 

 

 

 

The sum of the squared deviations divided by the number of cases in the population, or by the number of cases minus one in the sample

Term
within groups SS
Definition
Term
z score
Definition
Term

 

 

 

 

distribution

Definition

 

 

 

 

A collection, or group, of scores from a sample on a single variable.  Often, but not necessarily, these scores are arranged in order from smallest to largest.

Term

 

 

 

Median split

Definition

 

 

 

 

Dividing a distribution of scores into two equal groups by using the median score as the divider.  

 

Scores above the median are the "high" group whereas those below the median are the "low" group.

Term

 

 

 

 

 

multimodal

Definition

 

 

 

 

 

When a distribution of scores has two or more values that have the highest frequency of scores

Term

 

 

 

 

Outliers

Definition

 

 

 

Extreme scores that are more than two standard deviations above or below the mean

 

Term

 

 

 

 

 

Σ 

Definition

 

 

 

The sum of; to sum

Term

 

 

 

 

X

Definition

 

 

 

An individual score in a distribution

Term

 

 

 

 

ΣX

Definition

 

 

 

 

The sum of an individual score in a distribution (X); additing up all of the scores in a distribution

Term

 

 

 

_

X

 

Definition

 

 

 

 

The mean of a sample(shown as X bar)

 

Sometimes shown as M

 

 

 

 

Term

 

 

 

 

 

μ 

Definition

 

 

 

 

 

The mean of a population

Term

 

 

 

 

 

n

Definition

 

 

 

 

The number of cases, or scores, in a sample

Term

 

 

 

 

 

N

Definition

 

 

 

 

 

The number of cases, or scores, in a population

Term

 

 

 

 

 

P50

Definition

 

 

 

 

Symbol for the median

Term

 

 

 

 

 

Constant

Definition

 

 

 

 

 

A construct that has only one value (e.g. if every member of a sample was 10 years old, the "age" construct would be a constant)

Term

 

 

 

 

 

Convenience sampling

Definition

 

 

 

 

 

Selecting a sample based upon ease of access or availability

Term

 

 

 

 

 

Correlational research design

 

 

Definition

 

 

 

 

 

A style of research used to examine the associations among variables.

 

Variables are not manipulated by the researcher in this type of research design

Term

 

 

 

 

 

Dichotomous variable

Definition

 

 

 

 

A variable that has only two discrete values (e.g., a pregnancy variable can have a value of 0 for "not pregnant" and 1 for "pregnant"

 

Term

 

 

Interval variable

 

or

 

Ratio variable 

Definition

 

 

 

Variables measured with numerical values with equal distance, or space, between each number

 

e.g., 2 is twice as much as 1, 4 is twice as much as 2, the distance between 1 and 2 is the same as the distance between 2 and 3

Term

 

 

 

qualitative research

Definition
Term

 

 

 

 

 

quantitative (continuous) variable

Definition

 

 

 

 

A variable that has assigned values and the values are ordered and meaningful, such that 1 is less than 2, 2 is less than 3, and so on.

Term

 

 

 

 

 

random assignment

Definition

 

 

 

 

Assignment of members of a sample to different groups randomly, or without consideration of any of the characteristics of sample members

 

e.g. experimental and control

Term

 

 

 

 

 

representative sampling

Definition

 

 

 

 

 

a method of selecting a sample in which members are purposely selected to create a sample that represents the population on some characteristic(s) of interest

 

e.g. when a sample is selected to have the same percentages of various ethnic groups as the larger population

Term

 

 

 

 

 

sample

Definition

 

 

 

A collection of cases selected from a larger population

Term

 

 

 

 

 

variable

Definition

 

 

 

 

 

Any construct with more than one value that is examined in research

Term

 

 

 

 

 

boxplot

Definition

 

 

 

 

 

A graphic representation of the distribution of scores on a variable that inclues the range, the median, and the interquartile range

Term

 

 

 

 

Interquartile range (IQR)

Definition

 

 

 

 

The difference between the 75th percentile and the 25th percentile scores in a distribution

Term

 

 

 

 

squared deviation

Definition

 

 

 

 

The difference between an individual score in a distribution and the mean for the distribution, squared

Term

 

 

 

 

s2

Definition

 

 

 

 

The sample variance

Term

 

 

 

 

 

s

Definition

 

 

 

 

The sample standard deviation

Term

 

 

 

 

 

σ 

Definition

 

 

 

 

The population standard deviation

Term

 

 

 

 

 

σ2

Definition

 

 

 

 

The population variance

Term

 

 

 

 

 

SS

Definition

 

 

 

 

 

The sum of squares, or sum of squared deviations

Term

 

 

 

 

 

Mutually exclusive categories

Definition

 

 

 

 

 

when values can fit into only one class or category

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