Describe why comparing the factor variance and error variance with an ANOVA analysis will indicate if groups come from the same or different populations.

Describe why comparing the factor variance and error variance with an ANOVA analysis will indicate if groups come from the same or different populations.

Question
Comparing two groups
asked 2021-02-24
Describe why comparing the factor variance and error variance with an ANOVA analysis will indicate if groups come from the same or different populations.

Answers (1)

2021-02-25

Comparing the factor variance and error variance with an ANOVA analyse indicate that whether gropups coming from the two \(\displaystyle{p}{o}{p}^{{{n}}}{s}\)
with same variance (i.e. same \(\displaystyle{p}{o}{p}^{{{n}}}{s}){}{\quad\text{or}\quad} difference\ {p}{o}{p}^{{{n}}}{s}.\)
This is done by wing F statistic. at the calculated F statistic in less than tabulated a critical F(obtained from F-table) then groups coming from same \(\displaystyle{p}{o}{p}^{{{n}}}{s}\).

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Think of it this way. If you went to a college that was 90% female and 10% male, then females would most likely have the highest percentage of A grades. They would also most likely have the highest percentage of B, C, D and F grades
The correct way to compare is "conditional probability". Conditional probability is getting the probability of something happening, given we are dealing with just the people in a particular group.
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