Question

I have a three-group study that uses a one way ANOVA. Each group has 40 participants...

I have a three-group study that uses a one way ANOVA. Each group has 40 participants in it.

1. how many degrees of freedom does the omnibus F test have?

2. suppose prior to data collection I have stated two hypotheses backed by previous studies: (1) group a will score higher than group s B and C combined. and (2) group B will score higher than group C. What is my next step in the analysis?

Homework Answers

Answer #1

1) there are three groups, therefore between treatment degree of freedom is 3-1 = 2, since the are 40 participants in each group, therefore total participants = 3*40 = 120, therefore, error degree of freedom = 120-3 = 117.

therefore, F test has {2, 117} degrees of freedom.

2) There are many ways to test these hypothesis, like t test, Tukey HSD test, etc. for t test for first part, first calculate average for A and combined average for B and C and pooled standard deviation for B and C and standard deviation for A then you can easily test, for second part it is simple to test.

if you have any doubt you can ask by comment.

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
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...
E417: Three machines are being evaluated in a one-way ANOVA. A total of sixteen trials have...
E417: Three machines are being evaluated in a one-way ANOVA. A total of sixteen trials have been conducted. How many degrees of freedom are available to evaluate the error term? A. 12 B. 13 C. 14 D. 15
1. In one-way ANOVA, involving three groups, the alternative hypothesis would be considered correct if, in...
1. In one-way ANOVA, involving three groups, the alternative hypothesis would be considered correct if, in the population, a. all means were equal b. two means are equal but the third is different c. all three means have different values d. either (b) or (c) above is true QUESTION 2 When Null is true for a one-way ANOVA, variation of the group means is a reflection of a. inherent variation b. differential treatment effects c. nondifferential treatment effects d. a...
Consider the partially completed​ one-way ANOVA summary table below. ​a) Complete the remaining entries in the...
Consider the partially completed​ one-way ANOVA summary table below. ​a) Complete the remaining entries in the table. ​ b) How many population means are being​ tested? ​c) Using α=0.05​, what conclusions can be made concerning the population​ means? Source Sum of Squares Degrees of Freedom    Mean Sum of Squares F Between    ​? 4    ​? ​? Within    60 ​ ? ​? Total    160 14 LOADING... Click the icon to view a table of critical​ F-scores for...
An experiment has a single factor with five groups and three values in each group. In...
An experiment has a single factor with five groups and three values in each group. In determining the​ among-group variation, there are 4 degrees of freedom. In determining the​ within-group variation, there are 20 degrees of freedom. In determining the total​ variation, there are 24 degrees of freedom.​ Also, note that SSA= 96, SSW=160, SST=256, MSA=24, MSW=8, and FSTAT=3. Complete parts​ (a) through​ (d).Click here to view page 1 of the F table. a. Construct the ANOVA summary table and...
Q07. An ANOVA examining three different blanching processes to determine which is best in terms of...
Q07. An ANOVA examining three different blanching processes to determine which is best in terms of vitamin A retention (mg/100mg) yields an F statistic with an associated P-value of < .001. Therefore, at α = .05 we I. fail to reject the null hypothesis. II. reject the null hypothesis. III. conclude that mean vitamin A retention amounts are not all equal across the different blanching processes a) II only b) I only c) both II and III d III only...
A recent study has been published concerning the effects of sugar on happiness. One group of...
A recent study has been published concerning the effects of sugar on happiness. One group of 10 people are assigned a high sugar diet, another group of 10 people are assigned a moderate-high sugar diet, another group of 10 people are assigned a moderate-low sugar diet, and a final group of 10 people are assigned a low sugar diet. If I found that my SSTotal was 420 and my SSBetween was 255: a. Identify the name of the test you...
For my PSY 240 course, I implemented a new practice of bringing in guest speakers at...
For my PSY 240 course, I implemented a new practice of bringing in guest speakers at various stages of life. The goal is to have students observe real-life examples of developmental stages and thus have higher final course percentage scores as a result. In order to see if this new element was helpful to students, I compared results from the final percentage scores of my current class to the existing pool of past final percentage scores from all my previous...
How productive are U.S. workers? One way to answer this question is to study annual profits...
How productive are U.S. workers? One way to answer this question is to study annual profits per employee. A random sample of companies in computers (I), aerospace (II), heavy equipment (III), and broadcasting (IV) gave the following data regarding annual profits per employee (units in thousands of dollars). I (27.6;23.1;14.7;8.9;11.9) II (13.1;9.9;11.7;8.1;6.9;19.5) III ( 22.4;20.2;7.4;12.9;7.7) IV (17.6;16.8;14.4;15.7;10.7;9.4) Shall we reject or not reject the claim that there is no difference in population mean annual profits per employee in each of...
1. After performing an ANOVA test, with (3,4) degrees of freedom, for data collected during an...
1. After performing an ANOVA test, with (3,4) degrees of freedom, for data collected during an experiment trying to determine if there is at least one difference between groups. You get a calculated F value of 7.52. Using the table below, find the appropriate critical F value. What should be your conclusion(s), based on those 2 F values and α? Select ALL that apply Critical values of F (α= 0.05) Group of answer choices: A. My calculated F value is...