I have already gone to the website and completed the One-way ANOVA test. I just

Question

I have already gone to the website and completed the One-way ANOVA test. I just need to know how to answer "a" and "b" questions. The completed results are listed.

Go to http://readingstats.com/Sixth/resources11.htm. Using the interactive (on-line) tool One-Way ANOVA (b), create a data set of your own to analyze. Follow the procedure below to answer 3a & 3b.

a)      Are your results significant? Explain how you know.

b)     Explain the results of your post hoc test (i.e., which if any of the groups are different).

Xa

Xb

Xc

Xd

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·        

Data
Summary

Xa

Xb

Xc

Xd

Total

n

10

10

10

10

40

sum

239

259

255

254

1007

mean

23.9

25.9

25.5

25.4

25.175

sumsq

5761

6741

6527

6460

25489

SS

48.9

32.9

24.5

8.4

137.775

variance

5.4333

3.6556

2.7222

0.9333

3.5327

st. dev.

2.331

1.912

1.6499

0.9661

1.8795

·         Variances and standard deviations are calculated
with denominator = n-1.

Next:

·         Calculate a Tukey HSD test link to the right of the ANOVA Summary and complete the post hoc analysis. (Hint: to find the MSerror and dferror look at the key underneath the ANOVA summary table)

Xa

Xb

Xc

Xd

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Upload Assig B Blank page l E Blank page M Inbox (a3) h C For The Follo l C chegg study M One-way AN A Blank pa x myUCA. O faculty vassar edu/ Mowry/hsd.html Tukey HSD Test for Post-ANOVA wise Comparisons in a one-way ANOVA After performing a one-way analysis of variance, enter the values outlined in red, then click the Calculate button: Sample Mean 23.9 259 255 254 n 10 10 10 n number of measures per sample. If there are only three samples in the analysis, leave the D entries blank. MS 3.19 dferror 36 HSD.05 HSD 01 2.67 Pair-Wise Comparisons via Tukey HSD Test A nia Inis Ine n's Inle n/s non-significant Page: 4 of 4 Word 1,00g Type or talk to search 9-03 PM 3/28/2017 Ri

Explanation / Answer

MTB > Name c5 "FITS1" c6 "FITS2" c7 "FITS3" c8 "FITS4"
MTB > AOVOneway 'Xa'-'Xd';
SUBC>   Fits 'FITS1'-'FITS4';
SUBC>   Tukey 5;
SUBC>   MCB 5 +1;
SUBC>   GHistogram;
SUBC>   NoDGraphs.

One-way ANOVA: Xa, Xb, Xc, Xd

Source DF      SS    MS     F      P
Factor   3   23.08 7.69 2.41 0.083
Error   36 114.70 3.19
Total   39 137.77

S = 1.785   R-Sq = 16.75%   R-Sq(adj) = 9.81%

                          Individual 95% CIs For Mean Based on Pooled StDev
Level   N    Mean StDev     +---------+---------+---------+---------
Xa     10 23.900 2.331     (--------*---------)
Xb     10 25.900 1.912                     (---------*--------)
Xc     10 25.500 1.650                  (---------*--------)
Xd     10 25.400 0.966                 (---------*--------)
                             +---------+---------+---------+---------
                          22.8      24.0      25.2      26.4

Pooled StDev = 1.785

If you see P-value is 0.083 at 0.05 level of significance, So we fail to reject null hypothesis.

Thus There is no significance between given Xi

Hsu's MCB (Multiple Comparisons with the Best)

Family error rate = 0.05
Critical value = 2.13

Intervals for level mean minus largest of other level means

Level   Lower Center Upper -----+---------+---------+---------+----
Xa     -3.702 -2.000 0.000 (-----------*------------)
Xb     -1.302   0.400 2.102                  (-----------*----------)
Xc     -2.102 -0.400 1.302             (----------*-----------)
Xd     -2.202 -0.500 1.202            (-----------*----------)
                              -----+---------+---------+---------+----
                                -3.0      -1.5       0.0       1.5

Hsu's MCB (Multiple Comparisons with the Best)

Family error rate = 0.05
Critical value = 2.13

Intervals for level mean minus smallest of other level means

Level   Lower Center Upper ------+---------+---------+---------+---
Xa     -3.202 -1.500 0.202 (-------*--------)
Xb      0.000   2.000 3.702                  (---------*--------)
Xc     -0.102   1.600 3.302                 (--------*--------)
Xd     -0.202   1.500 3.202                 (-------*--------)
                              ------+---------+---------+---------+---
                                 -2.0       0.0       2.0       4.0

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