Non parametric statistics Flashcards
What assumptions do parametric statistics make?
Assumptions about the population from which the sample has been drawn
Makes assumptions about the population from which the sample has been drawn
a. Parametric statistics
b. Non-parametric statistics
a. Parametric statistics
Do not make assumptions about the underlying population distributions
a. Parametric statistics
b. Non-parametric statistics
b. Non-parametric statistics
Known as distribution-free statistics
a. Parametric statistics
b. Non-parametric statistics
b. Non-parametric statistics
True or False?
Non-parametric tests have less power than their parametric equivalents
True
Using non-parametric tests results in higher risk of…?
a. Type II error
b. Type I error
a. Type II error
What is the non-parametric equivalent of an independent t-test?
Mann-Whitney U test
What is the non-parametric equivalent of a paired t-test?
Wilcoxon T Test
What is the non-parametric equivalent of a one-way independent ANOVA?
Kruskal Wallis Test
What is the non-parametric equivalent of a one-way repeated measures ANOVA?
Friedman Test
What is the non-parametric equivalent of a two-way independent ANOVA?
No non-parametric equivalent
What is the non-parametric equivalent of a two-way repeated measures ANOVA?
No non-parametric equivalent
What is the non-parametric equivalent of a two-way mixed ANOVA?
No non-parametric equivalent
An experiment has 1 IV with 2 levels between subjects but normality assumptions have not been met
Which statistic is used?
a. Kruskal Wallis Test
b. Friedman Test
c. Mann-Whitney U Test
d. Wilcoxon T Test
e. No non-parametric equivalent
c. Mann-Whitney U Test
An experiment has 1 IV with 2 levels within subjects but normality assumptions have not been met
Which statistic is used?
a. Kruskal Wallis Test
b. Friedman Test
c. Mann-Whitney U Test
d. Wilcoxon T Test
e. No non-parametric equivalent
d. Wilcoxon T Test
An experiment has 1 IV with more than 2 levels within subjects but normality assumptions have not been met
Which statistic is used?
a. Kruskal Wallis Test
b. Friedman Test
c. Mann-Whitney U Test
d. Wilcoxon T Test
e. No non-parametric equivalent
b. Friedman Test
An experiment has 1 IV with more than 2 levels between subjects but normality assumptions have not been met
Which statistic is used?
a. Kruskal Wallis Test
b. Friedman Test
c. Mann-Whitney U Test
d. Wilcoxon T Test
e. No non-parametric equivalent
a. Kruskal Wallis Test
An experiment has 2 IVs between subjects but normality assumptions have not been met
Which statistic is used?
a. Kruskal Wallis Test
b. Friedman Test
c. Mann-Whitney U Test
d. Wilcoxon T Test
e. No non-parametric equivalent
e. No non-parametric equivalent
An experiment has 2 IVs within subjects but normality assumptions have not been met
Which statistic is used?
a. Kruskal Wallis Test
b. Friedman Test
c. Mann-Whitney U Test
d. Wilcoxon T Test
e. No non-parametric equivalent
e. No non-parametric equivalent
An experiment has 2 IVs mixed subjects but normality assumptions have not been met
Which statistic is used?
a. Kruskal Wallis Test
b. Friedman Test
c. Mann-Whitney U Test
d. Wilcoxon T Test
e. No non-parametric equivalent
e. No non-parametric equivalent
How do we check that the normality assumption is met for independent designs?
The DV should be normally distributed, under each
level of the IV
How do we check that the normality assumption is met for repeated measures designs?
The DV difference scores should be normally
distributed, between each paired level of the IV
The DV should be normally distributed, under each
level of the IV
a. Repeated measures
b. Independent
b. Independent
The DV difference scores should be normally
distributed, between each paired level of the IV
a. Repeated measures
b. Independent
a. Repeated measures
How can we assess the normality assumption statistically?
Using Shapiro-Wilk test
What is the Shapiro-Wilk test for?
Assessing normality assumption statistically
List 3 parametric tests of relationships
- Pearson’s correlation coefficient
- Partial correlation
- Regression
What are the non-parametric equivalents of Pearson’s correlation coefficient?
- Spearman’s rho
Used where N > 20
- Kendall’s Tau
Used where N < 20
What are the non-parametric equivalents of partial correlation?
There are none
What are the non-parametric equivalents of regression?
There are none
List 7 parametric tests of differences
- Independent t-test
- Paired t-test
- One-way independent ANOVA
- One-way repeated measures ANOVA
- Two-way independent ANOVA
- Two-way repeated measures ANOVA
- Two-way mixed ANOVA
List 4 non-parametric tests of differences
- Mann-Whitney U
- Wilcoxon T Test
- Kruskal Wallis Test
- Friedman Test
Spearman’s rho is the non-parametric equivalent of Pearson’s correlation coefficient for…?
a. Used where N < 20
b. Used where N > 20
b. Used where N > 20
Kendall’s Tau is the non-parametric equivalent of Pearson’s correlation coefficient for…?
a. Used where N < 20
b. Used where N > 20
a. Used where N < 20
Name the non-parametric equivalent for Pearson’s correlation coefficient when N < 20
Kendall’s Tau
Name the non-parametric equivalent for Pearson’s correlation coefficient when N > 20
Spearman’s rho
Should we use parametric or non-parametric when testing for relationships in this scenario?
Either variable is measured on an ordinal
scale
Non-parametric
True or False?
It is best to use parametric if either variable is measured on an ordinal scale (especially if you are concerned that the intervals between measures
are not equivalent)
False
It is best to use non-parametric if either variable is measured on an ordinal scale (especially if you are concerned that the intervals between measures
are not equivalent)
When should we use non-parametric tests of relationships other than when the normality assumption is not met?
If either variable is measured on an ordinal
scale (especially if you are concerned that the intervals between measures are not equivalent)
What are the 2 tests we can run to analyse categorical data?
- One-variable Chi-Square (a.k.a. Goodness of Fit Test
- Chi-Square Test of Independence (two variables)
The Chi-Square Test with two variables is known as…?
Chi-Square Test of Independence
What is the Chi-Square Test of Independence?
Analysis of categorical data with two variables
Analysis of categorical data with two variables
This is known as…?
Chi-Square Test of Independence
The Goodness of Fit Test is also known as…?
One-variable Chi-Square
What is the One-variable Chi-Square?
Analysis of categorical data with one variable
AKA Goodness of Fit Test
Analysis of categorical data with one variable
AKA Goodness of Fit Test
This is known as…?
One-variable Chi-Square
What is the non-parametric equivalent for One-variable Chi-Square?
There are none
What is the non-parametric equivalent for the Chi-Square Test of Independence?
There are none
Why are there no non-parametric equivalents for the One-variable Chi-Square (a.k.a. Goodness of Fit Test) and Chi-Square Test of Independence?
If the DV (outcome variable) is measured on a categorical scale, non-parametric tests are the only option