# statistics

posted by .

n=15 and there are 3 groups

These data are analyzed by an ANOVA, and the resutls are reported in the following summary table. fill in all missing values in the table.

* All that is given in the table is the MS(mean square) within treatments=20 and F=4 (f-ratio)

I have to find the SS Between and Within treatments.

The df for between and within treatments, this what I got:
df total=44 (n=15, (15)(3)=45, N=45, dftotal=N-1, 45-1=44)

df between= k-1= 3-1= 2

df within= N-k=45-3= 42

-My question is how do I find the MS within treatments
-SS for within and between treatments,

when only the F (4) is given, the MS of between treatments is given (20), and the df's that I calculated above?

• statistics -

OK, let's look at what you have and what you need in table form:

............ SS ...... df ..... MS ..... F
Between..... ? ....... 2 ...... 20 ..... 4
Within...... ? ....... 42 ..... ?
Total ...... ? ....... 44

To find SS between, take df between times MS between.
To find SS within, take df within times MS within.
SS total is SS between plus SS within.
To find MS within, take MS between and divide by F-ratio.

That should complete the table.

I hope this will help.

• statistics -

Thank you so much!

## Similar Questions

1. ### Statistic

11.5 Consider an experiment with four groups with eighth values in each. For the following ANOVA summary table, fill in all the missing results. Source Degree of freedom Sum of Square Mean Square(Variance) F ___________________________________________________________________________________ …

Assume that 100 subjects received one of four treatment combinations and produced the data reported below. Conduct a two-factor ANOVA and complete an ANOVA table reporting the relevant SS, df, MS, F's. N=100 n=25 the table shows A1 …

Assume that 100 subjects received one of four treatment combinations and produced the data reported below. Conduct a two-factor ANOVA and complete an ANOVA table reporting the relevant SS, df, MS, F's. N=100 n=25 the table shows A1 …
4. ### Finance

10.55 Consider an experiment with four groups, with eight values in each. For the ANOVA summary table below, fill in all the missing results: Degrees of Sum of Mean Square Source Freedom Squares (Variance) Among groups c - 1 = ?
5. ### Business Statistics

10.55 Consider an experiment with four groups, with eight values in each. For the ANOVA summary table below, fill in all the missing results: A) Source B) Degrees of Freedom C) Sum of Squares D) Mean Square (Variance) E) F 1A) Among …
6. ### statistic

A researcher conducts an experiment comparing three treatment conditions with a separate sample n = 8 in each treatment. An analysis of variance is used to evaluate the data, and the results of the ANOVA are presented in the table …
7. ### statistics

. For the table that follows, answer the following questions: x y 1 -1 2 -5 3 -9 4 - Would the correlation between x and y in the table above be positive or negative?
8. ### statistics

A researcher used an analysis of variance to compare three treatment conditions with a separate sample of n = 8 participants in each treatment. The results of the analysis are shown in the following summary. Fill in all missing values …
9. ### business statistics

10.55 Consider an experiment with four groups, with eight values in each. For the ANOVA summary table below, fill in all the missing results: Source Degrees of Freedom Sum of Squares Mean Square (Variance) F Among groups c - 1 = ?
10. ### Statistics for the Behavioral Sciences

Complete an independent project, collect data from your observation experiment and perform a one-way, between-subjects ANOVA on the data using the definitional formula.Include the following: 1. description of research project that …

More Similar Questions