Question

A researcher is performing a two-way ANOVA using two factors. The first factor has 3 levels...

A researcher is performing a two-way ANOVA using two factors. The first factor has 3 levels and the second factor has 6 levels. In the ANOVA Summary Table, the degrees of freedom for the first and second factors will be


Homework Answers

Answer #1

As we know independent variables of two-way ANOVA are called factors. Concept is that there are two variables, factors, which affect the dependent variable say Y. Each of the variable will have two or more level within it and degree of freedom for each level is one minus number of levels.

Here the first factor has 3 levels and the second factor has 6 levels. So there degree of freedoms are 2 and 5 respectively.

That is first factor will have 2 degree of freedom and second one will have 5 degree of freedom.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider a​ two-way ANOVA with two levels for factor​ A, four levels for factor​ B, and...
Consider a​ two-way ANOVA with two levels for factor​ A, four levels for factor​ B, and four replicates in each of the 88 ​cells, with SSA=25, SSB=30, SSE=120, and SST=280. Complete parts​ (a) through​ (d). a) Form the ANOVA summary table and fill in all values in the body of the table. b) At the 0.01 level of​ significance, is there an effect due to factor​ A? c) At the 0.01 level of​ significance, is there an effect due to...
Explain why interaction (in a two-way ANOVA model (fixed factor effects) with alevels of Factor A...
Explain why interaction (in a two-way ANOVA model (fixed factor effects) with alevels of Factor A and b levels of Factor B and equal sample sizes) has (a - 1)(b - 1) degrees of freedom. Use the ideas of parameter estimation in your answer.
1. Using the two-way mixed ANOVA, different participants are observed at each level of the between-subjects...
1. Using the two-way mixed ANOVA, different participants are observed at each level of the between-subjects factor, and the same participants are observed across the levels of the within-subjects factor. TRUE OR FALSE 2. A researcher computes two 2 × 2 between-subjects ANOVAs. In Study 1, he observes 8 participants in each cell; in Study 2, he observes 12 participants in each cell. Which study is associated with a larger value for degrees of freedom for the A × B...
Consider the following 2-way ANOVA table. Factor A has 5 levels and factor B has 2...
Consider the following 2-way ANOVA table. Factor A has 5 levels and factor B has 2 levels. ANOVA Source of Variation SS df MS F P-value Factor A (Row factor) 72207.55 4 18051.89 7.770119 0.00003 Factor B (Column factor) 340.3125 1 340.3125 0.146482 0.70308 Interaction (A X B) 1415 4 353.75 0.152265 0.96138 Within 162627.1 70 2323.245 Total 236590 79   Assuming that all the treatment combinations of factors A and B have an equal number of observations, how many observations(replicates)...
Consider the following partially completed two-way ANOVA table. Suppose there are 2 levels of Factor A...
Consider the following partially completed two-way ANOVA table. Suppose there are 2 levels of Factor A and 3 levels of Factor B. The number of replications per cell is 3. Use the 0.01 significance level. (Hint: estimate the values from the F table.) Source SS df MS F Factor A 525 Factor B 60 Interaction 325 Error 625 Total 1,535 Complete an ANOVA table. (Round MS and F to 2 decimal places.) Find the critical values to test for equal...
A researcher conducts a one-way ANOVA in which one independent variable has four levels. How many...
A researcher conducts a one-way ANOVA in which one independent variable has four levels. How many different factors are in this study?
onsider the following partially completed two-way ANOVA table. Suppose there are 2 levels of Factor A...
onsider the following partially completed two-way ANOVA table. Suppose there are 2 levels of Factor A and 3 levels of Factor B. The number of replications per cell is 3. Use the 0.01 significance level. (Hint: estimate the values from the F table.) Complete an ANOVA table. (Round MS and F to 2 decimal places.) SS df MS F Factor A 100(SS) Factor B 30(SS) interaction 250(SS) Error 200(SS) Total 580(SS) Find the critical values to test for equal means....
A researcher conducted a two-factor research study using two levels of factor A and four levels...
A researcher conducted a two-factor research study using two levels of factor A and four levels of factor B with a separate sample of n = 6 subjects in each of the eight treatment conditions (cells). The following table summarizes the results of the analysis, but it is not complete. Fill in the missing values. (Hint: Start with the df values) Source SS df MS Between Treatments 620 ____    Factor A ____ ____ ____ F A = ____   ...
The structure of a two-way ANOVA study can be presented as a matrix with the levels...
The structure of a two-way ANOVA study can be presented as a matrix with the levels of one factor determining the rows and the levels of the second factor determining the columns. Factor A A1                                                           A2                                        B1 Factor B                                                                 B2 What are the three hypotheses that are evaluated in this study? With this structure in mind, describe the mean differences that are evaluated by each of the three hypothesis tests that make up a two-factor ANOVA.__________________
Complete the following ANOVA summary table for a two-factor fixed-effects ANOVA, where there are three levels...
Complete the following ANOVA summary table for a two-factor fixed-effects ANOVA, where there are three levels of factor A (school) and seven levels of factor B (curriculum design). Each cell includes 14 students. Use a significance level of α=0.05. Source SS DF MS F p A B 10902.6 AxB 15786.8 Error 197379 TOTAL 229475.3                Decision for the main effect of factor A: reject the null H01 fail to reject the null H01 Decision for the main effect of factor...