Asked by Andrew Freed on May 17, 2024

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In a completely randomized design for ANOVA, the numerator and denominator degrees of freedom are 4 and 25, respectively. The total number of observations must equal:

A) 24
B) 25
C) 29
D) 30
E) 31

Randomized Design

An experimental setup where subjects or experimental units are randomly allocated to different groups or treatments.

Degrees of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution, typically in the context of parameter estimation or hypothesis testing.

Observations

The act of systematically viewing and recording phenomena or data to gather information about the world.

  • Understand the concept of degrees of freedom and its calculation in the context of ANOVA.
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Paula Comella AguiloMay 17, 2024
Final Answer :
D
Explanation :
The total degrees of freedom for ANOVA is the sum of numerator and denominator degrees of freedom. Thus, total degrees of freedom = 4+25 = 29. Since ANOVA is conducted on a sample, we need to add 1 to the total degrees of freedom to get the total number of observations. Thus, the total number of observations = total degrees of freedom + 1 = 29 + 1 = 30. Therefore, the answer is D) 30.