Week 6 & 7 Flashcards
When do you do a non-parametric test?
When the basic assumptions for a parametric test are not met
Non- parametric statistics are based on…?
- Comparisons of ranks of scores
* Comparisons of counts(yes/no) or “signs” of scores
Non- parametric statistics are ___ compared to parametric statistics
Non- parametric statistics are less powerful compared to parametric statistics
What kind of parametric test do you perform when you have 2 independent groups?
Unpaired t-test
What kind of parametric test do you perform when you have 2 related scores?
Paired t-test
What kind of parametric test do you perform when you have 3 or more independent groups?
One-way analysis of variance (ANOVA) (F)
What kind of parametric test do you perform when you have 3 or more related scores?
One-way repeated measures analysis of variance (MANOVA)
What kind of non-parametric test do you perform when you have 2 independent groups?
Mann-Whitney U test
What kind of non-parametric test do you perform when you have 2 related scores?
- Sign test
- Wilcoxon signed ranks test (T)
What kind of non-parametric test do you perform when you have 3 or more independent groups?
- Kruskal-Wallis analysis of variance by ranks (H or x^2)
What kind of non-parametric test do you perform when you have 3 or more related scores?
Friedman two way analysis of variance by ranks
True or False
You’re able to perform a non-parametric test on complex designs like a 2 x 3
FALSE
Unable to perform on more complex designs (e.g. 2x3)
What question is being asked in the comparison based on ranks in a non-parametric t-test?
Is the difference in ranks larger than would be expected by chance alone?
What question is being asked in the comparison based on signs in a non-parametric t-test?
Is the difference in sign frequencies larger than would be expected by chance alone?
What type of test do we use when the IV and DV are both on the nominal level?
Chi- Square
What are you looking at in a chi-square?
Are observed frequencies different than expected frequencies
What are the 2 types of chi square?
- Goodness of fit
* Tests of independence (association)
What do you do in the goodness of fit chi square test?
• Compare observed frequencies of 1 variable to uniform frequencies of another
What is an example of the goodness of fit chi square test?
• Eg: flip coin 50 times. Get 15 heads & 35 tails. Is this difference due to chance or a “real” bias?
____ chi square test is much more common?
Tests of independence (association)
What do you do in the tests of independence (association) chi square test?
Compare observed frequencies from 1 variable to observed frequencies of another variable
What is an example of the tests of independence (association) chi square test?
Eg: Is owning a mac laptop related to gender?
What is the McNemar test?
Requirement of chi-square is that variable levels must be independent (e.g. can’t be “healed” and “unhealed”)
___ is the form of a chi square test that is used for 2x2 with correlated sample
McNemar test is the form of a chi square test that is used for 2x2 with correlated sample
What is a phi coefficient?
A correlation coefficient for 2 nominal variables/ degrees of association for 2x2
The phi coefficient is based off the ___
The phi coefficient is based off the chi-square test
What is the IV level of measurement for a t- test?
Nominal
What is the IV level of measurement for an ANOVA?
Nominal
What is the IV level of measurement for a non parametric test?
Nominal
What is the DV level of measurement for a t- test?
Continuous
What is the DV level of measurement for an ANOVA?
Continuous
What is the DV level of measurement for a non parametric test?
Ordinal
What is the question asked with a t-test?
Difference between means?
What is the question asked with an ANOVA?
Difference between means?
What is the question asked with a non parametric test?
Ranks different?
What is the IV level of measurement for a correlation?
Continuous
What is the IV level of measurement for a regression?
Continuous
What is the DV level of measurement for a correlation?
Continuous
What is the DV level of measurement for a regression?
Continuous
What is the question asked with a correlation?
Strength of association?
What is the question asked with a regression?
Strength of prediction?
What does a correlation have to do with?
A pair of scores and how much they co-vary
What does it mean for something to co-vary?
Directly or inversely proportional. When one is high, so is the other and vice versa
What are the things that a correlation looks at?
- Do they vary together (covary)?
- How strong is their linear relationship?
- What is the nature of the relationship?
A correlation has to be ___
A correlation has to be linear
What is a correlation coefficient?
A number that quantifies the strength of a linear relationship that can range from -1 to 1
What does it mean when a correlation coefficient is closer to 1, whether positive or negative?
Closer to |1.00|, higher strength of relationship
What does the sign of the correlation coefficient indicate?
The direction
The tighter the grouping of the linear relationship, the ___ the correlation coefficient
The tighter the grouping of the linear relationship, the higher the correlation coefficient
What does a 0.00- 0.25 coefficient correlation mean?
Little or no relationship
What does a 0.26- 0.50 coefficient correlation mean?
Fair relationship
What does a 0.51- 0.75 coefficient correlation mean?
Moderate to good
What does a 0.75- 1.00 coefficient correlation mean?
Good to excellent
What is the coefficient of determination?
• The square of the correlation coefficient
What is the coefficient of determination equal to?
The percent of variance in one variable that is explained (or accounted for) by the other variable
What is the significance of the coefficient correlation?
To test the null hypothesis
What is the null hypothesis as it relates to the coefficient correlation?
The correlation between variable x and variable y is not significantly different from zero.
Coefficient correlation is very sensitive to ___
Coefficient correlation is very sensitive to * sample size*
What is the most common type of correlation coefficient?
Pearson Product-Moment Correlation Coefficient (r)
When is the Pearson Product-Moment Correlation Coefficient applicable?
When both variables continuous (Interval or Ratio scale)
What is the Spearman Rank (rho) Correlation Coefficient (rs)?
Non-parametric analog of Pearson r
When is the Spearman Rank (rho) Correlation Coefficient (rs) applicable?
When 1 continuous, 1 ordinal variable or 2 ordinal variables