Question

In: Statistics and Probability

If you want to know if there is any difference at all in how many people...

If you want to know if there is any difference at all in how many people prefer any of five different salad dressings, you would do what kind of test?

Chi square goodness of fit

Chi square test of independence

Independent sample (simple) ANOVA

Repeated measures(matched sample)ANOVA

Factorial ANOVA

Solutions

Expert Solution

Answers;

1)

Chi-Square Goodness of fit test is a non-parametric test that is used to find out how the observed value of a given phenomenon is significantly different from the expected value. ... Then the numbers of points that fall into the interval are compared, with the expected numbers of points in each interval

2)

The Chi-Square test of independence is used to determine if there is a significant relationship between two nominal (categorical) variables. The frequency of each category for one nominal variable is compared across the categories of the second nominal variable.

3)

Independent sample (simple) ANOVA: The one-way analysis of variance (ANOVA) is used to determine whether there are any statistically significant differences between the means of two or more independent (unrelated) groups (although you tend to only see it used when there is a minimum of three, rather than two groups).

4)

Repeated Measures Analysis of Variance (ANOVA) or Within-Variation ANOVA is a statistical method to estimate how the means differ for two or more outcome variables measured on the same scale.

5)

A factorial ANOVA compares means across two or more independent variables.

There is any difference at all in how many people prefer any of five different salad dressings, In this criteria, we use Factorial ANOVA (A factorial ANOVA compares means across two or more independent variables)


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