week 10- inferential stats (tests of association) Flashcards
regression
- can make predictions and explore the relationship between two variables
- there are three types (simple, multiple and logistic)
simple/linear regression
- identifies relationship between two continuous variables (numerical)
- perfect relationship = 1 unit of change in IV leads to 1 unit of change in DV
- regression line can be used to make predictions
residual
distance between data points and regression line
multiple regression
one DV (interval level) and several IV’s (numerical), see how several factors interact to impact the DV
logistic regression
variables are binary/ordinal (categorical)
interpreting multiple regression
a) correlation coefficient (r)
b) coefficient of determination (r2): proportion of variability in DV explained by IV’s, how good model is at determining IV
- closer to 1 means model predicts IV well
c) beta coefficient (B): degree of change in DV for every 1 unit change in IV
- quantifies magnitude of relationship
types of inferential statistics
parametric and non-paramteric (decision on what to use is determined by nature of hypothesis being tested, level of measurement, distribution of the variable scores)
parametric tests
- precise and most common inferential stats test used
- assumes that we’re using numerical data (interval/ratio), that DV is normally distributed and that we are estimating at least one population parameter
ie. t-test, ANOVA, pearson’s R
non-parametric tests
- variables can be nominal or ordinal (categorical)
- few if any assumptions
- does not estimate population parameters
ie. chi square test
t-test for independent groups
- tests differences in means between two groups
- each group consists of different people
- participants are only tested once
- DV must be numerical
- test statistic about 2 is desirable
t-test for dependent groups (paired)
- tests differences in means between the same group (tested twice)
- assumptions for independent t-test apply
ANOVA
- used to test differences in means between independent groups
- when 3+ groups are being compared on one DV
- participants are tested once
- test statistic is F statistic
- one and two-way (compares two DV) ANOVA
repeated measures ANOVA
compares means at 3+ different points in time, same participants are tested more than once
chi-square test
- most common non-parametric test
- allows you to determine difference in groups among nominal or ordinal data (compares frequency in each category)
- expresses a difference in proportions, not a difference in means
assumptions of a chi-square test
- categorical variable
- mutually exclusive categories
- expected frequencies of 5 or more
- null assumes no relationship
- large enough sample size (>6)