Chapter 12: Q. 13.32 (page 566)

Suppose that a one-way ANOVA is being performed to compare the means of three populations and that the sample sizes are $10$ , $12$ , and $15$ . Determine the degrees of freedom for the $F$ -statistic.

Short Answer

Expert verified

$F$ -statistic $(2, 34)$ degrees of freedom

Step by step solution

-Introduction

One way ANOVA:

One-way ANOVA (“ANOVA”) compares the means of two or more independent groups to see if there is statistical evidence of single-factor ANOVA with significantly different relevant population means.

Single Factor ANOVA:

Judge. Analysis of variance (ANOVA) is one of the most commonly used techniques in life and environmental sciences.

Step 2- Information

The $3$ populations to consider is $k = 3$ , and the number of observation islocalid="1654190826907" $37$ , or localid="1654190834085" $n = 37$ .

Step 3- Explanation

Therefore, the degrees of freedom of the $F$ statistics are as follows:

$d f = (k - 1, n - k)$

$= (3 - 1, 37 - 3)$

$= (2, 34)$

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Suppose that a one-way ANOVA is being performed to compare the means of three populations and that the sample sizes are $10$ , $12$ , and $15$ . Determine the degrees of freedom for the $F$ -statistic.

Short Answer

Step by step solution

-Introduction

Step 2- Information

Step 3- Explanation

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Suppose that a one-way ANOVA is being performed to compare the means of three populations and that the sample sizes are 10,12 , and 15. Determine the degrees of freedom for the F-statistic.

Short Answer

Step by step solution

-Introduction

Step 2- Information

Step 3- Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Probability and Statistics

Mechanics Maths

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

Suppose that a one-way ANOVA is being performed to compare the means of three populations and that the sample sizes are $10$ , $12$ , and $15$ . Determine the degrees of freedom for the $F$ -statistic.