First part Conduct an investigation considering the following concepts: *** You MUST include numerical examples with your formulas and hypotheses for a better understanding of the definitions. ANOVA...

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Answered Same DayOct 06, 2021

Answer To: First part Conduct an investigation considering the following concepts: *** You MUST include...

Suraj answered on Oct 06 2021
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ANOVA distribution F: The ANOVA distribution F is the ratio of the Mean square of the groups to the Mean square error. The degrees of freedom of F distribution is number of groups – 1 and Total – number of groups.
Thus, it follows F distribution with degree of freedom.
Test statistic F: It is defined as the ratio of mean square of groups and mean square error.
Test statistic
Total variation: It is defined as the total sum of square. The formula for it is given as follows:
Total sum of square =
Treatment variation: It is defined as Sum of square due to treatments. It is given as follows:
Sum of square due to treatments =
Random variation: Random variation is also called the variation due to error. It is given as follows:
Random variation = Total Sum of square – Sum of square due to treatments
The critical value is calculated by taking degree of freedom of numerator and degree of freedom of denominator. Hence, degree of freedom nominator = 6 – 1 = 5
Degreed of freedom denominator...
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