Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in an archaeological region, the number of such sherds was counted in local dwelling excavations.Site ISite IISite IIISite IV181131132591917235161224944381423 16 12 14Shall we reject or not reject the claim that there is no difference in the population mean three-circle red-on-white sherd counts for the four sites?(b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.)SSTOT= SSBET= SSW= Find d.f.BET, d.f.W, MSBET, and MSW. (Use 3 decimal places for MSBET, and MSW.)dfBET= dfW= MSBET= MSW= (c) Find the value of the sample F statistic. (Use 3 decimal places.)(d) What are the degrees of freedom?(e) Make a summary table for your ANOVA test.

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Asked Dec 16, 2019
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Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in an archaeological region, the number of such sherds was counted in local dwelling excavations.

Site I Site II Site III Site IV
18 11 31 13
25 9 19 17
2 35 16 12
24 9 44 38
14 23   16
  12   14

Shall we reject or not reject the claim that there is no difference in the population mean three-circle red-on-white sherd counts for the four sites?

(b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.)

SSTOT =  
SSBET =  
SSW =  


Find d.f.BET, d.f.W, MSBET, and MSW. (Use 3 decimal places for MSBET, and MSW.)

dfBET =  
dfW =  
MSBET =  
MSW =  


(c) Find the value of the sample F statistic. (Use 3 decimal places.)


(d) What are the degrees of freedom?

(e) Make a summary table for your ANOVA test.

 

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Expert Answer

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Step 1

The null and the alternative hypotheses are;

Null hypothesis: All means are equal.

Alternative hypothesis: At least one of the mean is different.

Step 2

Excel is used to analyze the provided data. Steps are as follows:

  1. Enter the data into the spreadsheet.
  2. Go to Data>Data Analysis>Anova: Single factor>ok.
  3. Fill in the required columns and click ok.
  4. The obtained result is,
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Anova: Single Factor SUMMARY Groups Site l Site II Site II Site IV Count Sum Average Variance 83 16.6 86.8 16.5 99 109.5 163 110 27.5 110 18.33333 96.26667 ANOVA Source of Variation Between Groups Within Groups df P-value F crit MS 357.5381 3 119.1794 1.086334 0.381578 3.196777 1865.033 17 109.7078 Total 2222.571 20

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Step 3

(b) The required values for...

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Image Transcriptionclose

SSmr = 2222.571 тот = 357.538 S BET SS, SS, = 1865.033 и por = SS Er + S,, SS TOT тот BET 2222.571= 357.538+1865.033 = 2222.571

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