Trend analysis
analysis of variance that is used to assess linear and nonlinear trends when the independent variable is quantitative.
Mixed Designs
type of factorial design in which at least one IV is a between-groups variable and one IV is a within-subjects variable
Regression Analysis
used to predict a score on one criterion based on the person’s obtained score on one predictor
involves identifying the location of the regression line (“line of best fit”) and using the equation for that line
least squares criterion
used in regression analysis to locate the regression line
MANOVA
used to examine differences in multiple dependent variables across groups, based on one or more independent variables
Within-Subjects Designs
each subject receives, at different times, each level of the IV so that comparisons on the DV are made within subjects
Type I And Type II Errors
I - true null hypothesis is rejected (= alpha)
II - false null hypothesis is retained (= beta)
Factorial Design
2+ IVs
main effect - effect of a single IV on the DV
interaction - effects of one IV at different levels of another IV
ANCOVA
version of ANOVA that statistically removing variability in the DV that is due to an extraneous variable
each person’s score on the DV is adjusted on the basis of his or her score on the extraneous variable
Central Limit Theorem
sampling distribution of the mean
(a) will approach a normal shape as the sample size increases
(b) has a mean equal to the population mean
(c) has a standard deviation equal to the population standard deviation divided by the square root of the sample size (this is called the standard error of the mean)
Experimental research
conducting an empirical study to test hypotheses about the relationships between independent and dependent variables
true - more control, random assignment
quasi - less control
Chi-Square Test
comparing frequency of observations in nominal data
single-sample - one variable (TOTAL)
multiple-sample - more than one variable
Systematic Error
predictable error
extraneous variables
Cross-Validation
validating a correlation coefficient on a new sample
tends to shrink the coefficient
shrinkage is greatest when the original sample is small and the number of predictors is large
Probability Sampling
each element in the target population has a known chance of being selected for inclusion in the sample
simple random sampling, stratified random sampling, and cluster sampling
Single-subjects design
at least one A (baseline) and one B (treatment) phase
multiple measurements of the DV at regular intervals during each phase
reversal designs - 2+ baseline phases and one treatment phase (e.g., an ABA or ABAB), with the treatment being withdrawn
Path Analysis
used to verify a pre-defined causal model or theory
Cluster Analysis
group people or objects into a smaller number of mutually exclusive and exhaustive subgroups (clusters) based on their similarities
Areas Under The Normal Curve
68% of observations - plus and minus one standard deviation from the mean
95% - plus and minus two standard deviations from the mean,
99% - plus and minus three standard deviations from the mean
Rejection and Retention Regions
Rejection - contains the sample means that are unlikely to be obtained simply as the result of sampling error (size determined by alpha)
Retention - contains the values that are likely to be obtained simply as the result of sampling error (size = 1- alpha)
Factorial ANOVA
two or more IVs (i.e., when the study has used a factorial design) and a single DV that is measured on an interval or ratio scale
“way” = number of IVs
Between-groups designs
administering each level or combination of levels to a different group of subjects
Standard Deviation
measure of dispersion (variability) of scores around the mean of the distribution
Random error
error that is unpredictable (random)
Sampling error and measurement error