Psych Stats Quiz 5/8/23 Flashcards
rank sum test
nonparametric equivalent of the independent t
why use rank sum
when you want to compare two samples of ordinal data because the assumption of interval/ratio is not met
disadvantages of rank sum
less powerful than parametric tests - type II error is more likely
null hypothesis is more general
t-test for dependent samples
looking for differences within subjects
structurally similar to other t statistics but based on difference score (D)
t-test for dependent samples: advantages
- use same subjects in all treatment conditions - no risk that subjects in one condition are substantially different from subjects in another
- only need half the subjects for the same n
- more powerful than independent sample t-test because its influenced by variability that is reduced by using the same subjects
t-test for dependent samples: within-subjects design
each subject contributes a score to each sample/condition in an experiment
t-test for dependent samples: matched-group design
pairs of subjects who are similar - one member of the pair is assigned to one sample and the other is assigned to the second sample
- each subject contributes one score
steps for dependent samples
1) state hypotheses (always = 0 and not = 0)
2) Find critical region: df = n-1 and then use t table to find value
3) Difference scores: after score - before score
4) sample mean: average D values
5) sum of squares = sum of each score square - (sum of scores)squared divided by n
6) standard deviation: square root of SS/n-1
7) standard error: sd/square root of n
8) t = average of D/standard error
9) fail to reject the null if t falls within critical region
steps for dependent samples
1) state hypotheses (always = 0 and not = 0)
2) Find critical region: df = n-1 and then use t table to find value
3) Difference scores: after score - before score
4) sample mean: average D values
5) sum of squares = sum of each score square - (sum of scores)squared divided by n
6) standard deviation: square root of SS/n-1
7) standard error: sd/square root of n
8) t = average of D/standard error
9) fail to reject the null if t falls within critical region
naturally occurring population
present without any intervention by the investigator
hypothetical population
does not exist until they are actually measured
confound
systematic differences between two groups OTHER than the independent variable
arises due to differences between the groups that existed before the independent variable was applied