RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

ONE WAY ANOVA

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
You obtained a significant test statistic when comparing three treatment groups in a one-way ANOVA. In words, how would you interpret the alternative hypothesis HA?
A
All of the three treatments group have different effects on the mean response.
B
Exactly two of the three treatment groups have the same effect on the mean response.
C
At least one treatment groups are different from each other in terms of their effect on the mean response
D
All of the above
E
None of the above
Explanation: 

Detailed explanation-1: -In ANOVA, the null hypothesis is that there is no difference among group means. If any group differs significantly from the overall group mean, then the ANOVA will report a statistically significant result.

Detailed explanation-2: -Assumptions for One-Way ANOVA Test There are three primary assumptions in ANOVA: The responses for each factor level have a normal population distribution. These distributions have the same variance. The data are independent.

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