exam 3 at a glimpse Flashcards
p-value
significance testing
-tells you whether the group scores are significantly different from each other
- p < 0.05
ANOVA statistic
F
- the F value is the ratio of: difference between the groups by difference within group
-F becomes bigger when the variation within groups is small
one-way ANOVA df
- df (between) = Total no. groups - 1
- df (within) = Total no. of people - Total no. groups
E.g.
3 groups
Total no. of people = 150
df(between) = 3 -1 = 2 df(within) = 150 - 3 = 147
Eta- squared
η2
ANOVA effect size
-How much variance in the DV is explained by the IV
- How big of a difference there is in the groups scores.
- Eta squared
- .01 : small
- .09 medium
- .25: large
probability sampling
Probability sampling is useful and gives you the least bias compared to non-probability sampling.
sampling bias
there’s something wrong with the way of gathering sample. For instance, if you want to do a survey about middle school student – and then you find out that one day when you go to the middle school, you find out that the low-income students skipped the school more often, so that you find out that the sample that you gathered are mostly students from middle class. Then… you might run into a problem related to sampling bias.
sampling error
it’s random. There is no specific reason for this.
chi-square statistic
x squared
(like t from t tests and F from ANOVA tests)
chi-squared df
- df = (no. of IV categories – 1) * (no. of DV categories -1)
E.g.
IV has 2 groups DV has 2 groups Then, df will be?
(2-1)*(2-1) = 1
N = sample size (total no. of people in data set)
Cramer’s V
Chi-squared effect size
-How big of an effect does the IV have on DV?
-Like r for correlation, Cohen’s d for t tests,
Eta-squared for ANOVA
-In Nominals table > second row
- Range
- .10 small
- .30 medium
- .50 large
Factorial ANOVA statistics
-Same p, F and Eta-squared as one-way ANOVA
-Getting a statistically significant result: p< .05 does not mean that all the effects are significant (main 1, main 2, interaction) in an FANOVA (2-way ANOVA). It means that overall the results are significant.
Factorial ANOVA df
For Main Effects:
-df(between) = Total no. categories (in the IV) – 1
-For Interaction Effect:
-df (between) = df(IV1) * df(IV2)
-df (within) = Total no. of people (N) - Total no. of groups/cells
E.g. IV1 = 2 levels, IV2 = 3 levels, N = 194 Main Effect 1 df = 2 – 1 = 1
Main Effect 2 df = 3 – 1 = 2 Interaction Effect df = 21= 2 df(within) = 194 – (23) = 188
How to determine which test to do:
Determine the combination of IV and DV variable types:
* t test: IV categorical (2 groups) + DV continuous
* One-way ANOVA: IV categorical (3 or more groups) + DV
continuous
* Chi-squared test : IV categorical + DV categorical
* Factorial ANOVA: 2 IVs categorical (2 or more groups) + DV
continuous *categorical (nominal, ordinal) *continuous (interval, ratio)
ex ?: Taylor conducted a research to find out whether gender impacted people’s willingness to buy product endorsed by a social media influencer
1-way ANOVA (if more than 2 groups)/ t-test (if 2 groups)
ex ?: Claire conducted a research to find out whether race impacted whether people have seen Eternals or not.
Chi-squared test