Marketing/Business Why is it important to test for within group difference (ie males and females in...

Marketing/Business

Why is it important to test for within group difference (ie males and females in a sample) vs test for across group difference (ie. males and males in another sample)? Can provide some examples of research that you have experienced related to this issue?

Expert Solution

Within Group Difference measures the differences among subjects that are in the same group. Winin Group Variation is called error variance and it is given by:

It refers to variations caused by differences within individual groups.

EXAMPLE:

Suppose consider 4 Groups of persons, A,B,C and D, each Group consisting of 20 persons and we measure cholesterol level of each person. For within Group variation, we will study the variation of cholesterol level of each person in Group A, without considering Groups B,C and D/ Then, we study the variation in Group B, without considering A, C and D. etc.

Across Group Difference measures the differences differences between the varous groups. This is caaled Between Group Variation.

EXAMPLE:

One Way ANOVE is employed to determine whether Freshmen, Sophomores, Juniors and Seniors differ in their reading ability. Multiple ANOVA, denoted by MANOVA is employed to determine whether there are differences on two or more groups. For example, MANOVA can determine (i) whether reading ability differ across class levels, (ii) whether reading ability differ acoss genders and (iiI) whether there are interactions between class level and gender.

orchestra answered 2 years ago

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