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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software ModuleIan.Hollidayrwasp_One Factor ANOVA.wasp
Title produced by softwareChi Square Measure of Association- Free Statistics Software (Calculator)
Date of computationThu, 03 Dec 2009 14:48:13 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/03/t12598481429uimxrpl7jbflth.htm/, Retrieved Fri, 19 Apr 2024 01:22:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62779, Retrieved Fri, 19 Apr 2024 01:22:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact119

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi Square Measure of Association- Free Statistics Software (Calculator)] [One Way ANOVA wit...] [2009-11-29 13:09:19] [98fd0e87c3eb04e0cc2efde01dbafab6]
-   PD  [Chi Square Measure of Association- Free Statistics Software (Calculator)] [One Way ANOVA for...] [2009-12-01 13:05:10] [3fdd735c61ad38cbc9b3393dc997cdb7]
- R P     [Chi Square Measure of Association- Free Statistics Software (Calculator)] [CARE date with Tu...] [2009-12-01 18:33:48] [98fd0e87c3eb04e0cc2efde01dbafab6]
-   PD      [Chi Square Measure of Association- Free Statistics Software (Calculator)] [workshop 9] [2009-12-03 13:45:16] [86674042f568b97a0cb1393bb670625c]
-    D          [Chi Square Measure of Association- Free Statistics Software (Calculator)] [workshop 9] [2009-12-03 13:48:13] [2f7631b924a0313f7e00fc4e0211a50a] [Current]
-    D            [Chi Square Measure of Association- Free Statistics Software (Calculator)] [workshop 9] [2009-12-03 13:50:51] [86674042f568b97a0cb1393bb670625c]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
36	1
36	1
56	2
48	2
32	2
44	1
39	2
34	2
41	3
50	3
39	1
62	3
52	2
37	3
50	2
41	1
55	2
41	2
56	3
39	2
52	1
46	2
44	2
48	2
41	2
50	3
50	3
44	2
52	1
54	2
44	2
52	3
37	2
52	3
50	3
36	1
50	1
52	3
55	3
31	2
36	1
49	1
42	1
37	2
41	2
30	1
52	1
30	3
41	2
44	1
66	2
48	3
43	2
57	2
46	1
54	3
48	3
48	2
52	1
62	1
58	3
58	2
62	2
48	2
46	2
34	1
66	2
52	3
55	2
55	1
57	3
56	1
55	2
56	3
54	1
55	3
46	2
52	1
32	2
44	1
46	2
59	2
46	3
46	3
54	3
66	3
56	2
59	2
57	2
52	3
48	1
44	1
41	2
50	1
48	3
48	2
59	2
46	2
54	2
55	2
54	3
59	2
44	2
54	3
52	3
66	3
44	2
57	2
39	1
60	3
45	2
41	2
50	2
39	2
43	2
48	1
37	2
58	2
46	1
43	1
44	2
34	3
30	1
50	3
39	1
37	2
55	2
48	3
41	
39	1
36	3
43	2
50	3
55	2
43	2
60	3
48	2
30	3
43	2
39	1
52	2
39	1
39	1
56	1
59	1
46	2
57	2
50	2
54	1
50	3
60	3
59	3
41	2
48	1
59	2
60	3
56	2
56	2
51	1

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62779&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62779&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62779&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk






ANOVA Model
MC30VRB ~ MWARM
means44.8792.9386.407-42.879-43.879-33.379-41.879-42.212-43.879-42.379-43.212-42.879-43.879-42.879-41.879-42.879-42.879-43.212-42.545

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
MC30VRB  ~  MWARM \tabularnewline
means & 44.879 & 2.938 & 6.407 & -42.879 & -43.879 & -33.379 & -41.879 & -42.212 & -43.879 & -42.379 & -43.212 & -42.879 & -43.879 & -42.879 & -41.879 & -42.879 & -42.879 & -43.212 & -42.545 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62779&T=1

[TABLE]
[ROW]ANOVA Model[/C][/ROW]
[ROW]MC30VRB  ~  MWARM[/C][/ROW]
[ROW][C]means[/C][C]44.879[/C][C]2.938[/C][C]6.407[/C][C]-42.879[/C][C]-43.879[/C][C]-33.379[/C][C]-41.879[/C][C]-42.212[/C][C]-43.879[/C][C]-42.379[/C][C]-43.212[/C][C]-42.879[/C][C]-43.879[/C][C]-42.879[/C][C]-41.879[/C][C]-42.879[/C][C]-42.879[/C][C]-43.212[/C][C]-42.545[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62779&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62779&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

ANOVA Model
MC30VRB ~ MWARM
means44.8792.9386.407-42.879-43.879-33.379-41.879-42.212-43.879-42.379-43.212-42.879-43.879-42.879-41.879-42.879-42.879-43.212-42.545






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MWARM1851072.0162837.33441.6740
Residuals1409531.80868.084 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
MWARM & 18 & 51072.016 & 2837.334 & 41.674 & 0 \tabularnewline
Residuals & 140 & 9531.808 & 68.084 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62779&T=2

[TABLE]
[ROW][C]ANOVA Statistics[/C][/ROW]
[ROW][C] [/C][C]Df[/C][C]Sum Sq[/C][C]Mean Sq[/C][C]F value[/C][C]Pr(>F)[/C][/ROW]
[ROW][C]MWARM[/C][C]18[/C][C]51072.016[/C][C]2837.334[/C][C]41.674[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]140[/C][C]9531.808[/C][C]68.084[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62779&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62779&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MWARM1851072.0162837.33441.6740
Residuals1409531.80868.084






Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-12.938-3.4739.3490.979
3-16.407-0.7713.5840.144
30-1-42.879-72.904-12.8540
36-1-43.879-65.42-22.3380
39-1-33.379-49.04-17.7180
41-1-41.879-71.904-11.8540
43-1-42.212-60.05-24.3740
46-1-43.879-73.904-13.8540
48-1-42.379-63.92-20.8380
50-1-43.212-61.05-25.3740
51-1-42.879-72.904-12.8540
52-1-43.879-73.904-13.8540
54-1-42.879-72.904-12.8540
55-1-41.879-71.904-11.8540
56-1-42.879-60.716-25.0410
57-1-42.879-72.904-12.8540
59-1-43.212-61.05-25.3740
60-1-42.545-60.383-24.7080
3-23.469-2.8229.7610.892
30-2-45.817-75.643-15.9910
36-2-46.817-68.079-25.5540
39-2-36.317-51.592-21.0410
41-2-44.817-74.643-14.9910
43-2-45.15-62.65-27.650
46-2-46.817-76.643-16.9910
48-2-45.317-66.579-24.0540
50-2-46.15-63.65-28.650
51-2-45.817-75.643-15.9910
52-2-46.817-76.643-16.9910
54-2-45.817-75.643-15.9910
55-2-44.817-74.643-14.9910
56-2-45.817-63.317-28.3170
57-2-45.817-75.643-15.9910
59-2-46.15-63.65-28.650
60-2-45.483-62.983-27.9830
30-3-49.286-79.286-19.2860
36-3-50.286-71.792-28.780
39-3-39.786-55.398-24.1730
41-3-48.286-78.286-18.2860
43-3-48.619-66.414-30.8240
46-3-50.286-80.286-20.2860
48-3-48.786-70.292-27.280
50-3-49.619-67.414-31.8240
51-3-49.286-79.286-19.2860
52-3-50.286-80.286-20.2860
54-3-49.286-79.286-19.2860
55-3-48.286-78.286-18.2860
56-3-49.286-67.081-31.4910
57-3-49.286-79.286-19.2860
59-3-49.619-67.414-31.8240
60-3-48.952-66.748-31.1570
36-30-1-37.22835.2281
39-309.5-23.57242.5721
41-301-40.83342.8331
43-300.667-33.4934.8231
46-30-1-42.83340.8331
48-300.5-35.72836.7281
50-30-0.333-34.4933.8231
51-300-41.83341.8331
52-30-1-42.83340.8331
54-300-41.83341.8331
55-301-40.83342.8331
56-300-34.15734.1571
57-300-41.83341.8331
59-30-0.333-34.4933.8231
60-300.333-33.82334.491
39-3610.5-15.11736.1170.994
41-362-34.22838.2281
43-361.667-25.33628.671
46-360-36.22836.2281
48-361.5-28.0831.081
50-360.667-26.33627.671
51-361-35.22837.2281
52-360-36.22836.2281
54-361-35.22837.2281
55-362-34.22838.2281
56-361-26.00328.0031
57-361-35.22837.2281
59-360.667-26.33627.671
60-361.333-25.6728.3361
41-39-8.5-41.57224.5721
43-39-8.833-31.42613.7590.996
46-39-10.5-43.57222.5721
48-39-9-34.61716.6170.999
50-39-9.833-32.42612.7590.988
51-39-9.5-42.57223.5721
52-39-10.5-43.57222.5721
54-39-9.5-42.57223.5721
55-39-8.5-41.57224.5721
56-39-9.5-32.09213.0920.992
57-39-9.5-42.57223.5721
59-39-9.833-32.42612.7590.988
60-39-9.167-31.75913.4260.994
43-41-0.333-34.4933.8231
46-41-2-43.83339.8331
48-41-0.5-36.72835.7281
50-41-1.333-35.4932.8231
51-41-1-42.83340.8331
52-41-2-43.83339.8331
54-41-1-42.83340.8331
55-410-41.83341.8331
56-41-1-35.15733.1571
57-41-1-42.83340.8331
59-41-1.333-35.4932.8231
60-41-0.667-34.82333.491
46-43-1.667-35.82332.491
48-43-0.167-27.1726.8361
50-43-1-25.15223.1521
51-43-0.667-34.82333.491
52-43-1.667-35.82332.491
54-43-0.667-34.82333.491
55-430.333-33.82334.491
56-43-0.667-24.81923.4861
57-43-0.667-34.82333.491
59-43-1-25.15223.1521
60-43-0.333-24.48623.8191
48-461.5-34.72837.7281
50-460.667-33.4934.8231
51-461-40.83342.8331
52-460-41.83341.8331
54-461-40.83342.8331
55-462-39.83343.8331
56-461-33.15735.1571
57-461-40.83342.8331
59-460.667-33.4934.8231
60-461.333-32.82335.491
50-48-0.833-27.83626.171
51-48-0.5-36.72835.7281
52-48-1.5-37.72834.7281
54-48-0.5-36.72835.7281
55-480.5-35.72836.7281
56-48-0.5-27.50326.5031
57-48-0.5-36.72835.7281
59-48-0.833-27.83626.171
60-48-0.167-27.1726.8361
51-500.333-33.82334.491
52-50-0.667-34.82333.491
54-500.333-33.82334.491
55-501.333-32.82335.491
56-500.333-23.81924.4861
57-500.333-33.82334.491
59-500-24.15224.1521
60-500.667-23.48624.8191
52-51-1-42.83340.8331
54-510-41.83341.8331
55-511-40.83342.8331
56-510-34.15734.1571
57-510-41.83341.8331
59-51-0.333-34.4933.8231
60-510.333-33.82334.491
54-521-40.83342.8331
55-522-39.83343.8331
56-521-33.15735.1571
57-521-40.83342.8331
59-520.667-33.4934.8231
60-521.333-32.82335.491
55-541-40.83342.8331
56-540-34.15734.1571
57-540-41.83341.8331
59-54-0.333-34.4933.8231
60-540.333-33.82334.491
56-55-1-35.15733.1571
57-55-1-42.83340.8331
59-55-1.333-35.4932.8231
60-55-0.667-34.82333.491
57-560-34.15734.1571
59-56-0.333-24.48623.8191
60-560.333-23.81924.4861
59-57-0.333-34.4933.8231
60-570.333-33.82334.491
60-590.667-23.48624.8191

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & 2.938 & -3.473 & 9.349 & 0.979 \tabularnewline
3-1 & 6.407 & -0.77 & 13.584 & 0.144 \tabularnewline
30-1 & -42.879 & -72.904 & -12.854 & 0 \tabularnewline
36-1 & -43.879 & -65.42 & -22.338 & 0 \tabularnewline
39-1 & -33.379 & -49.04 & -17.718 & 0 \tabularnewline
41-1 & -41.879 & -71.904 & -11.854 & 0 \tabularnewline
43-1 & -42.212 & -60.05 & -24.374 & 0 \tabularnewline
46-1 & -43.879 & -73.904 & -13.854 & 0 \tabularnewline
48-1 & -42.379 & -63.92 & -20.838 & 0 \tabularnewline
50-1 & -43.212 & -61.05 & -25.374 & 0 \tabularnewline
51-1 & -42.879 & -72.904 & -12.854 & 0 \tabularnewline
52-1 & -43.879 & -73.904 & -13.854 & 0 \tabularnewline
54-1 & -42.879 & -72.904 & -12.854 & 0 \tabularnewline
55-1 & -41.879 & -71.904 & -11.854 & 0 \tabularnewline
56-1 & -42.879 & -60.716 & -25.041 & 0 \tabularnewline
57-1 & -42.879 & -72.904 & -12.854 & 0 \tabularnewline
59-1 & -43.212 & -61.05 & -25.374 & 0 \tabularnewline
60-1 & -42.545 & -60.383 & -24.708 & 0 \tabularnewline
3-2 & 3.469 & -2.822 & 9.761 & 0.892 \tabularnewline
30-2 & -45.817 & -75.643 & -15.991 & 0 \tabularnewline
36-2 & -46.817 & -68.079 & -25.554 & 0 \tabularnewline
39-2 & -36.317 & -51.592 & -21.041 & 0 \tabularnewline
41-2 & -44.817 & -74.643 & -14.991 & 0 \tabularnewline
43-2 & -45.15 & -62.65 & -27.65 & 0 \tabularnewline
46-2 & -46.817 & -76.643 & -16.991 & 0 \tabularnewline
48-2 & -45.317 & -66.579 & -24.054 & 0 \tabularnewline
50-2 & -46.15 & -63.65 & -28.65 & 0 \tabularnewline
51-2 & -45.817 & -75.643 & -15.991 & 0 \tabularnewline
52-2 & -46.817 & -76.643 & -16.991 & 0 \tabularnewline
54-2 & -45.817 & -75.643 & -15.991 & 0 \tabularnewline
55-2 & -44.817 & -74.643 & -14.991 & 0 \tabularnewline
56-2 & -45.817 & -63.317 & -28.317 & 0 \tabularnewline
57-2 & -45.817 & -75.643 & -15.991 & 0 \tabularnewline
59-2 & -46.15 & -63.65 & -28.65 & 0 \tabularnewline
60-2 & -45.483 & -62.983 & -27.983 & 0 \tabularnewline
30-3 & -49.286 & -79.286 & -19.286 & 0 \tabularnewline
36-3 & -50.286 & -71.792 & -28.78 & 0 \tabularnewline
39-3 & -39.786 & -55.398 & -24.173 & 0 \tabularnewline
41-3 & -48.286 & -78.286 & -18.286 & 0 \tabularnewline
43-3 & -48.619 & -66.414 & -30.824 & 0 \tabularnewline
46-3 & -50.286 & -80.286 & -20.286 & 0 \tabularnewline
48-3 & -48.786 & -70.292 & -27.28 & 0 \tabularnewline
50-3 & -49.619 & -67.414 & -31.824 & 0 \tabularnewline
51-3 & -49.286 & -79.286 & -19.286 & 0 \tabularnewline
52-3 & -50.286 & -80.286 & -20.286 & 0 \tabularnewline
54-3 & -49.286 & -79.286 & -19.286 & 0 \tabularnewline
55-3 & -48.286 & -78.286 & -18.286 & 0 \tabularnewline
56-3 & -49.286 & -67.081 & -31.491 & 0 \tabularnewline
57-3 & -49.286 & -79.286 & -19.286 & 0 \tabularnewline
59-3 & -49.619 & -67.414 & -31.824 & 0 \tabularnewline
60-3 & -48.952 & -66.748 & -31.157 & 0 \tabularnewline
36-30 & -1 & -37.228 & 35.228 & 1 \tabularnewline
39-30 & 9.5 & -23.572 & 42.572 & 1 \tabularnewline
41-30 & 1 & -40.833 & 42.833 & 1 \tabularnewline
43-30 & 0.667 & -33.49 & 34.823 & 1 \tabularnewline
46-30 & -1 & -42.833 & 40.833 & 1 \tabularnewline
48-30 & 0.5 & -35.728 & 36.728 & 1 \tabularnewline
50-30 & -0.333 & -34.49 & 33.823 & 1 \tabularnewline
51-30 & 0 & -41.833 & 41.833 & 1 \tabularnewline
52-30 & -1 & -42.833 & 40.833 & 1 \tabularnewline
54-30 & 0 & -41.833 & 41.833 & 1 \tabularnewline
55-30 & 1 & -40.833 & 42.833 & 1 \tabularnewline
56-30 & 0 & -34.157 & 34.157 & 1 \tabularnewline
57-30 & 0 & -41.833 & 41.833 & 1 \tabularnewline
59-30 & -0.333 & -34.49 & 33.823 & 1 \tabularnewline
60-30 & 0.333 & -33.823 & 34.49 & 1 \tabularnewline
39-36 & 10.5 & -15.117 & 36.117 & 0.994 \tabularnewline
41-36 & 2 & -34.228 & 38.228 & 1 \tabularnewline
43-36 & 1.667 & -25.336 & 28.67 & 1 \tabularnewline
46-36 & 0 & -36.228 & 36.228 & 1 \tabularnewline
48-36 & 1.5 & -28.08 & 31.08 & 1 \tabularnewline
50-36 & 0.667 & -26.336 & 27.67 & 1 \tabularnewline
51-36 & 1 & -35.228 & 37.228 & 1 \tabularnewline
52-36 & 0 & -36.228 & 36.228 & 1 \tabularnewline
54-36 & 1 & -35.228 & 37.228 & 1 \tabularnewline
55-36 & 2 & -34.228 & 38.228 & 1 \tabularnewline
56-36 & 1 & -26.003 & 28.003 & 1 \tabularnewline
57-36 & 1 & -35.228 & 37.228 & 1 \tabularnewline
59-36 & 0.667 & -26.336 & 27.67 & 1 \tabularnewline
60-36 & 1.333 & -25.67 & 28.336 & 1 \tabularnewline
41-39 & -8.5 & -41.572 & 24.572 & 1 \tabularnewline
43-39 & -8.833 & -31.426 & 13.759 & 0.996 \tabularnewline
46-39 & -10.5 & -43.572 & 22.572 & 1 \tabularnewline
48-39 & -9 & -34.617 & 16.617 & 0.999 \tabularnewline
50-39 & -9.833 & -32.426 & 12.759 & 0.988 \tabularnewline
51-39 & -9.5 & -42.572 & 23.572 & 1 \tabularnewline
52-39 & -10.5 & -43.572 & 22.572 & 1 \tabularnewline
54-39 & -9.5 & -42.572 & 23.572 & 1 \tabularnewline
55-39 & -8.5 & -41.572 & 24.572 & 1 \tabularnewline
56-39 & -9.5 & -32.092 & 13.092 & 0.992 \tabularnewline
57-39 & -9.5 & -42.572 & 23.572 & 1 \tabularnewline
59-39 & -9.833 & -32.426 & 12.759 & 0.988 \tabularnewline
60-39 & -9.167 & -31.759 & 13.426 & 0.994 \tabularnewline
43-41 & -0.333 & -34.49 & 33.823 & 1 \tabularnewline
46-41 & -2 & -43.833 & 39.833 & 1 \tabularnewline
48-41 & -0.5 & -36.728 & 35.728 & 1 \tabularnewline
50-41 & -1.333 & -35.49 & 32.823 & 1 \tabularnewline
51-41 & -1 & -42.833 & 40.833 & 1 \tabularnewline
52-41 & -2 & -43.833 & 39.833 & 1 \tabularnewline
54-41 & -1 & -42.833 & 40.833 & 1 \tabularnewline
55-41 & 0 & -41.833 & 41.833 & 1 \tabularnewline
56-41 & -1 & -35.157 & 33.157 & 1 \tabularnewline
57-41 & -1 & -42.833 & 40.833 & 1 \tabularnewline
59-41 & -1.333 & -35.49 & 32.823 & 1 \tabularnewline
60-41 & -0.667 & -34.823 & 33.49 & 1 \tabularnewline
46-43 & -1.667 & -35.823 & 32.49 & 1 \tabularnewline
48-43 & -0.167 & -27.17 & 26.836 & 1 \tabularnewline
50-43 & -1 & -25.152 & 23.152 & 1 \tabularnewline
51-43 & -0.667 & -34.823 & 33.49 & 1 \tabularnewline
52-43 & -1.667 & -35.823 & 32.49 & 1 \tabularnewline
54-43 & -0.667 & -34.823 & 33.49 & 1 \tabularnewline
55-43 & 0.333 & -33.823 & 34.49 & 1 \tabularnewline
56-43 & -0.667 & -24.819 & 23.486 & 1 \tabularnewline
57-43 & -0.667 & -34.823 & 33.49 & 1 \tabularnewline
59-43 & -1 & -25.152 & 23.152 & 1 \tabularnewline
60-43 & -0.333 & -24.486 & 23.819 & 1 \tabularnewline
48-46 & 1.5 & -34.728 & 37.728 & 1 \tabularnewline
50-46 & 0.667 & -33.49 & 34.823 & 1 \tabularnewline
51-46 & 1 & -40.833 & 42.833 & 1 \tabularnewline
52-46 & 0 & -41.833 & 41.833 & 1 \tabularnewline
54-46 & 1 & -40.833 & 42.833 & 1 \tabularnewline
55-46 & 2 & -39.833 & 43.833 & 1 \tabularnewline
56-46 & 1 & -33.157 & 35.157 & 1 \tabularnewline
57-46 & 1 & -40.833 & 42.833 & 1 \tabularnewline
59-46 & 0.667 & -33.49 & 34.823 & 1 \tabularnewline
60-46 & 1.333 & -32.823 & 35.49 & 1 \tabularnewline
50-48 & -0.833 & -27.836 & 26.17 & 1 \tabularnewline
51-48 & -0.5 & -36.728 & 35.728 & 1 \tabularnewline
52-48 & -1.5 & -37.728 & 34.728 & 1 \tabularnewline
54-48 & -0.5 & -36.728 & 35.728 & 1 \tabularnewline
55-48 & 0.5 & -35.728 & 36.728 & 1 \tabularnewline
56-48 & -0.5 & -27.503 & 26.503 & 1 \tabularnewline
57-48 & -0.5 & -36.728 & 35.728 & 1 \tabularnewline
59-48 & -0.833 & -27.836 & 26.17 & 1 \tabularnewline
60-48 & -0.167 & -27.17 & 26.836 & 1 \tabularnewline
51-50 & 0.333 & -33.823 & 34.49 & 1 \tabularnewline
52-50 & -0.667 & -34.823 & 33.49 & 1 \tabularnewline
54-50 & 0.333 & -33.823 & 34.49 & 1 \tabularnewline
55-50 & 1.333 & -32.823 & 35.49 & 1 \tabularnewline
56-50 & 0.333 & -23.819 & 24.486 & 1 \tabularnewline
57-50 & 0.333 & -33.823 & 34.49 & 1 \tabularnewline
59-50 & 0 & -24.152 & 24.152 & 1 \tabularnewline
60-50 & 0.667 & -23.486 & 24.819 & 1 \tabularnewline
52-51 & -1 & -42.833 & 40.833 & 1 \tabularnewline
54-51 & 0 & -41.833 & 41.833 & 1 \tabularnewline
55-51 & 1 & -40.833 & 42.833 & 1 \tabularnewline
56-51 & 0 & -34.157 & 34.157 & 1 \tabularnewline
57-51 & 0 & -41.833 & 41.833 & 1 \tabularnewline
59-51 & -0.333 & -34.49 & 33.823 & 1 \tabularnewline
60-51 & 0.333 & -33.823 & 34.49 & 1 \tabularnewline
54-52 & 1 & -40.833 & 42.833 & 1 \tabularnewline
55-52 & 2 & -39.833 & 43.833 & 1 \tabularnewline
56-52 & 1 & -33.157 & 35.157 & 1 \tabularnewline
57-52 & 1 & -40.833 & 42.833 & 1 \tabularnewline
59-52 & 0.667 & -33.49 & 34.823 & 1 \tabularnewline
60-52 & 1.333 & -32.823 & 35.49 & 1 \tabularnewline
55-54 & 1 & -40.833 & 42.833 & 1 \tabularnewline
56-54 & 0 & -34.157 & 34.157 & 1 \tabularnewline
57-54 & 0 & -41.833 & 41.833 & 1 \tabularnewline
59-54 & -0.333 & -34.49 & 33.823 & 1 \tabularnewline
60-54 & 0.333 & -33.823 & 34.49 & 1 \tabularnewline
56-55 & -1 & -35.157 & 33.157 & 1 \tabularnewline
57-55 & -1 & -42.833 & 40.833 & 1 \tabularnewline
59-55 & -1.333 & -35.49 & 32.823 & 1 \tabularnewline
60-55 & -0.667 & -34.823 & 33.49 & 1 \tabularnewline
57-56 & 0 & -34.157 & 34.157 & 1 \tabularnewline
59-56 & -0.333 & -24.486 & 23.819 & 1 \tabularnewline
60-56 & 0.333 & -23.819 & 24.486 & 1 \tabularnewline
59-57 & -0.333 & -34.49 & 33.823 & 1 \tabularnewline
60-57 & 0.333 & -33.823 & 34.49 & 1 \tabularnewline
60-59 & 0.667 & -23.486 & 24.819 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62779&T=3

[TABLE]
[ROW][C]Tukey Honest Significant Difference Comparisons[/C][/ROW]
[ROW][C] [/C][C]diff[/C][C]lwr[/C][C]upr[/C][C]p adj[/C][/ROW]
[ROW][C]2-1[/C][C]2.938[/C][C]-3.473[/C][C]9.349[/C][C]0.979[/C][/ROW]
[ROW][C]3-1[/C][C]6.407[/C][C]-0.77[/C][C]13.584[/C][C]0.144[/C][/ROW]
[ROW][C]30-1[/C][C]-42.879[/C][C]-72.904[/C][C]-12.854[/C][C]0[/C][/ROW]
[ROW][C]36-1[/C][C]-43.879[/C][C]-65.42[/C][C]-22.338[/C][C]0[/C][/ROW]
[ROW][C]39-1[/C][C]-33.379[/C][C]-49.04[/C][C]-17.718[/C][C]0[/C][/ROW]
[ROW][C]41-1[/C][C]-41.879[/C][C]-71.904[/C][C]-11.854[/C][C]0[/C][/ROW]
[ROW][C]43-1[/C][C]-42.212[/C][C]-60.05[/C][C]-24.374[/C][C]0[/C][/ROW]
[ROW][C]46-1[/C][C]-43.879[/C][C]-73.904[/C][C]-13.854[/C][C]0[/C][/ROW]
[ROW][C]48-1[/C][C]-42.379[/C][C]-63.92[/C][C]-20.838[/C][C]0[/C][/ROW]
[ROW][C]50-1[/C][C]-43.212[/C][C]-61.05[/C][C]-25.374[/C][C]0[/C][/ROW]
[ROW][C]51-1[/C][C]-42.879[/C][C]-72.904[/C][C]-12.854[/C][C]0[/C][/ROW]
[ROW][C]52-1[/C][C]-43.879[/C][C]-73.904[/C][C]-13.854[/C][C]0[/C][/ROW]
[ROW][C]54-1[/C][C]-42.879[/C][C]-72.904[/C][C]-12.854[/C][C]0[/C][/ROW]
[ROW][C]55-1[/C][C]-41.879[/C][C]-71.904[/C][C]-11.854[/C][C]0[/C][/ROW]
[ROW][C]56-1[/C][C]-42.879[/C][C]-60.716[/C][C]-25.041[/C][C]0[/C][/ROW]
[ROW][C]57-1[/C][C]-42.879[/C][C]-72.904[/C][C]-12.854[/C][C]0[/C][/ROW]
[ROW][C]59-1[/C][C]-43.212[/C][C]-61.05[/C][C]-25.374[/C][C]0[/C][/ROW]
[ROW][C]60-1[/C][C]-42.545[/C][C]-60.383[/C][C]-24.708[/C][C]0[/C][/ROW]
[ROW][C]3-2[/C][C]3.469[/C][C]-2.822[/C][C]9.761[/C][C]0.892[/C][/ROW]
[ROW][C]30-2[/C][C]-45.817[/C][C]-75.643[/C][C]-15.991[/C][C]0[/C][/ROW]
[ROW][C]36-2[/C][C]-46.817[/C][C]-68.079[/C][C]-25.554[/C][C]0[/C][/ROW]
[ROW][C]39-2[/C][C]-36.317[/C][C]-51.592[/C][C]-21.041[/C][C]0[/C][/ROW]
[ROW][C]41-2[/C][C]-44.817[/C][C]-74.643[/C][C]-14.991[/C][C]0[/C][/ROW]
[ROW][C]43-2[/C][C]-45.15[/C][C]-62.65[/C][C]-27.65[/C][C]0[/C][/ROW]
[ROW][C]46-2[/C][C]-46.817[/C][C]-76.643[/C][C]-16.991[/C][C]0[/C][/ROW]
[ROW][C]48-2[/C][C]-45.317[/C][C]-66.579[/C][C]-24.054[/C][C]0[/C][/ROW]
[ROW][C]50-2[/C][C]-46.15[/C][C]-63.65[/C][C]-28.65[/C][C]0[/C][/ROW]
[ROW][C]51-2[/C][C]-45.817[/C][C]-75.643[/C][C]-15.991[/C][C]0[/C][/ROW]
[ROW][C]52-2[/C][C]-46.817[/C][C]-76.643[/C][C]-16.991[/C][C]0[/C][/ROW]
[ROW][C]54-2[/C][C]-45.817[/C][C]-75.643[/C][C]-15.991[/C][C]0[/C][/ROW]
[ROW][C]55-2[/C][C]-44.817[/C][C]-74.643[/C][C]-14.991[/C][C]0[/C][/ROW]
[ROW][C]56-2[/C][C]-45.817[/C][C]-63.317[/C][C]-28.317[/C][C]0[/C][/ROW]
[ROW][C]57-2[/C][C]-45.817[/C][C]-75.643[/C][C]-15.991[/C][C]0[/C][/ROW]
[ROW][C]59-2[/C][C]-46.15[/C][C]-63.65[/C][C]-28.65[/C][C]0[/C][/ROW]
[ROW][C]60-2[/C][C]-45.483[/C][C]-62.983[/C][C]-27.983[/C][C]0[/C][/ROW]
[ROW][C]30-3[/C][C]-49.286[/C][C]-79.286[/C][C]-19.286[/C][C]0[/C][/ROW]
[ROW][C]36-3[/C][C]-50.286[/C][C]-71.792[/C][C]-28.78[/C][C]0[/C][/ROW]
[ROW][C]39-3[/C][C]-39.786[/C][C]-55.398[/C][C]-24.173[/C][C]0[/C][/ROW]
[ROW][C]41-3[/C][C]-48.286[/C][C]-78.286[/C][C]-18.286[/C][C]0[/C][/ROW]
[ROW][C]43-3[/C][C]-48.619[/C][C]-66.414[/C][C]-30.824[/C][C]0[/C][/ROW]
[ROW][C]46-3[/C][C]-50.286[/C][C]-80.286[/C][C]-20.286[/C][C]0[/C][/ROW]
[ROW][C]48-3[/C][C]-48.786[/C][C]-70.292[/C][C]-27.28[/C][C]0[/C][/ROW]
[ROW][C]50-3[/C][C]-49.619[/C][C]-67.414[/C][C]-31.824[/C][C]0[/C][/ROW]
[ROW][C]51-3[/C][C]-49.286[/C][C]-79.286[/C][C]-19.286[/C][C]0[/C][/ROW]
[ROW][C]52-3[/C][C]-50.286[/C][C]-80.286[/C][C]-20.286[/C][C]0[/C][/ROW]
[ROW][C]54-3[/C][C]-49.286[/C][C]-79.286[/C][C]-19.286[/C][C]0[/C][/ROW]
[ROW][C]55-3[/C][C]-48.286[/C][C]-78.286[/C][C]-18.286[/C][C]0[/C][/ROW]
[ROW][C]56-3[/C][C]-49.286[/C][C]-67.081[/C][C]-31.491[/C][C]0[/C][/ROW]
[ROW][C]57-3[/C][C]-49.286[/C][C]-79.286[/C][C]-19.286[/C][C]0[/C][/ROW]
[ROW][C]59-3[/C][C]-49.619[/C][C]-67.414[/C][C]-31.824[/C][C]0[/C][/ROW]
[ROW][C]60-3[/C][C]-48.952[/C][C]-66.748[/C][C]-31.157[/C][C]0[/C][/ROW]
[ROW][C]36-30[/C][C]-1[/C][C]-37.228[/C][C]35.228[/C][C]1[/C][/ROW]
[ROW][C]39-30[/C][C]9.5[/C][C]-23.572[/C][C]42.572[/C][C]1[/C][/ROW]
[ROW][C]41-30[/C][C]1[/C][C]-40.833[/C][C]42.833[/C][C]1[/C][/ROW]
[ROW][C]43-30[/C][C]0.667[/C][C]-33.49[/C][C]34.823[/C][C]1[/C][/ROW]
[ROW][C]46-30[/C][C]-1[/C][C]-42.833[/C][C]40.833[/C][C]1[/C][/ROW]
[ROW][C]48-30[/C][C]0.5[/C][C]-35.728[/C][C]36.728[/C][C]1[/C][/ROW]
[ROW][C]50-30[/C][C]-0.333[/C][C]-34.49[/C][C]33.823[/C][C]1[/C][/ROW]
[ROW][C]51-30[/C][C]0[/C][C]-41.833[/C][C]41.833[/C][C]1[/C][/ROW]
[ROW][C]52-30[/C][C]-1[/C][C]-42.833[/C][C]40.833[/C][C]1[/C][/ROW]
[ROW][C]54-30[/C][C]0[/C][C]-41.833[/C][C]41.833[/C][C]1[/C][/ROW]
[ROW][C]55-30[/C][C]1[/C][C]-40.833[/C][C]42.833[/C][C]1[/C][/ROW]
[ROW][C]56-30[/C][C]0[/C][C]-34.157[/C][C]34.157[/C][C]1[/C][/ROW]
[ROW][C]57-30[/C][C]0[/C][C]-41.833[/C][C]41.833[/C][C]1[/C][/ROW]
[ROW][C]59-30[/C][C]-0.333[/C][C]-34.49[/C][C]33.823[/C][C]1[/C][/ROW]
[ROW][C]60-30[/C][C]0.333[/C][C]-33.823[/C][C]34.49[/C][C]1[/C][/ROW]
[ROW][C]39-36[/C][C]10.5[/C][C]-15.117[/C][C]36.117[/C][C]0.994[/C][/ROW]
[ROW][C]41-36[/C][C]2[/C][C]-34.228[/C][C]38.228[/C][C]1[/C][/ROW]
[ROW][C]43-36[/C][C]1.667[/C][C]-25.336[/C][C]28.67[/C][C]1[/C][/ROW]
[ROW][C]46-36[/C][C]0[/C][C]-36.228[/C][C]36.228[/C][C]1[/C][/ROW]
[ROW][C]48-36[/C][C]1.5[/C][C]-28.08[/C][C]31.08[/C][C]1[/C][/ROW]
[ROW][C]50-36[/C][C]0.667[/C][C]-26.336[/C][C]27.67[/C][C]1[/C][/ROW]
[ROW][C]51-36[/C][C]1[/C][C]-35.228[/C][C]37.228[/C][C]1[/C][/ROW]
[ROW][C]52-36[/C][C]0[/C][C]-36.228[/C][C]36.228[/C][C]1[/C][/ROW]
[ROW][C]54-36[/C][C]1[/C][C]-35.228[/C][C]37.228[/C][C]1[/C][/ROW]
[ROW][C]55-36[/C][C]2[/C][C]-34.228[/C][C]38.228[/C][C]1[/C][/ROW]
[ROW][C]56-36[/C][C]1[/C][C]-26.003[/C][C]28.003[/C][C]1[/C][/ROW]
[ROW][C]57-36[/C][C]1[/C][C]-35.228[/C][C]37.228[/C][C]1[/C][/ROW]
[ROW][C]59-36[/C][C]0.667[/C][C]-26.336[/C][C]27.67[/C][C]1[/C][/ROW]
[ROW][C]60-36[/C][C]1.333[/C][C]-25.67[/C][C]28.336[/C][C]1[/C][/ROW]
[ROW][C]41-39[/C][C]-8.5[/C][C]-41.572[/C][C]24.572[/C][C]1[/C][/ROW]
[ROW][C]43-39[/C][C]-8.833[/C][C]-31.426[/C][C]13.759[/C][C]0.996[/C][/ROW]
[ROW][C]46-39[/C][C]-10.5[/C][C]-43.572[/C][C]22.572[/C][C]1[/C][/ROW]
[ROW][C]48-39[/C][C]-9[/C][C]-34.617[/C][C]16.617[/C][C]0.999[/C][/ROW]
[ROW][C]50-39[/C][C]-9.833[/C][C]-32.426[/C][C]12.759[/C][C]0.988[/C][/ROW]
[ROW][C]51-39[/C][C]-9.5[/C][C]-42.572[/C][C]23.572[/C][C]1[/C][/ROW]
[ROW][C]52-39[/C][C]-10.5[/C][C]-43.572[/C][C]22.572[/C][C]1[/C][/ROW]
[ROW][C]54-39[/C][C]-9.5[/C][C]-42.572[/C][C]23.572[/C][C]1[/C][/ROW]
[ROW][C]55-39[/C][C]-8.5[/C][C]-41.572[/C][C]24.572[/C][C]1[/C][/ROW]
[ROW][C]56-39[/C][C]-9.5[/C][C]-32.092[/C][C]13.092[/C][C]0.992[/C][/ROW]
[ROW][C]57-39[/C][C]-9.5[/C][C]-42.572[/C][C]23.572[/C][C]1[/C][/ROW]
[ROW][C]59-39[/C][C]-9.833[/C][C]-32.426[/C][C]12.759[/C][C]0.988[/C][/ROW]
[ROW][C]60-39[/C][C]-9.167[/C][C]-31.759[/C][C]13.426[/C][C]0.994[/C][/ROW]
[ROW][C]43-41[/C][C]-0.333[/C][C]-34.49[/C][C]33.823[/C][C]1[/C][/ROW]
[ROW][C]46-41[/C][C]-2[/C][C]-43.833[/C][C]39.833[/C][C]1[/C][/ROW]
[ROW][C]48-41[/C][C]-0.5[/C][C]-36.728[/C][C]35.728[/C][C]1[/C][/ROW]
[ROW][C]50-41[/C][C]-1.333[/C][C]-35.49[/C][C]32.823[/C][C]1[/C][/ROW]
[ROW][C]51-41[/C][C]-1[/C][C]-42.833[/C][C]40.833[/C][C]1[/C][/ROW]
[ROW][C]52-41[/C][C]-2[/C][C]-43.833[/C][C]39.833[/C][C]1[/C][/ROW]
[ROW][C]54-41[/C][C]-1[/C][C]-42.833[/C][C]40.833[/C][C]1[/C][/ROW]
[ROW][C]55-41[/C][C]0[/C][C]-41.833[/C][C]41.833[/C][C]1[/C][/ROW]
[ROW][C]56-41[/C][C]-1[/C][C]-35.157[/C][C]33.157[/C][C]1[/C][/ROW]
[ROW][C]57-41[/C][C]-1[/C][C]-42.833[/C][C]40.833[/C][C]1[/C][/ROW]
[ROW][C]59-41[/C][C]-1.333[/C][C]-35.49[/C][C]32.823[/C][C]1[/C][/ROW]
[ROW][C]60-41[/C][C]-0.667[/C][C]-34.823[/C][C]33.49[/C][C]1[/C][/ROW]
[ROW][C]46-43[/C][C]-1.667[/C][C]-35.823[/C][C]32.49[/C][C]1[/C][/ROW]
[ROW][C]48-43[/C][C]-0.167[/C][C]-27.17[/C][C]26.836[/C][C]1[/C][/ROW]
[ROW][C]50-43[/C][C]-1[/C][C]-25.152[/C][C]23.152[/C][C]1[/C][/ROW]
[ROW][C]51-43[/C][C]-0.667[/C][C]-34.823[/C][C]33.49[/C][C]1[/C][/ROW]
[ROW][C]52-43[/C][C]-1.667[/C][C]-35.823[/C][C]32.49[/C][C]1[/C][/ROW]
[ROW][C]54-43[/C][C]-0.667[/C][C]-34.823[/C][C]33.49[/C][C]1[/C][/ROW]
[ROW][C]55-43[/C][C]0.333[/C][C]-33.823[/C][C]34.49[/C][C]1[/C][/ROW]
[ROW][C]56-43[/C][C]-0.667[/C][C]-24.819[/C][C]23.486[/C][C]1[/C][/ROW]
[ROW][C]57-43[/C][C]-0.667[/C][C]-34.823[/C][C]33.49[/C][C]1[/C][/ROW]
[ROW][C]59-43[/C][C]-1[/C][C]-25.152[/C][C]23.152[/C][C]1[/C][/ROW]
[ROW][C]60-43[/C][C]-0.333[/C][C]-24.486[/C][C]23.819[/C][C]1[/C][/ROW]
[ROW][C]48-46[/C][C]1.5[/C][C]-34.728[/C][C]37.728[/C][C]1[/C][/ROW]
[ROW][C]50-46[/C][C]0.667[/C][C]-33.49[/C][C]34.823[/C][C]1[/C][/ROW]
[ROW][C]51-46[/C][C]1[/C][C]-40.833[/C][C]42.833[/C][C]1[/C][/ROW]
[ROW][C]52-46[/C][C]0[/C][C]-41.833[/C][C]41.833[/C][C]1[/C][/ROW]
[ROW][C]54-46[/C][C]1[/C][C]-40.833[/C][C]42.833[/C][C]1[/C][/ROW]
[ROW][C]55-46[/C][C]2[/C][C]-39.833[/C][C]43.833[/C][C]1[/C][/ROW]
[ROW][C]56-46[/C][C]1[/C][C]-33.157[/C][C]35.157[/C][C]1[/C][/ROW]
[ROW][C]57-46[/C][C]1[/C][C]-40.833[/C][C]42.833[/C][C]1[/C][/ROW]
[ROW][C]59-46[/C][C]0.667[/C][C]-33.49[/C][C]34.823[/C][C]1[/C][/ROW]
[ROW][C]60-46[/C][C]1.333[/C][C]-32.823[/C][C]35.49[/C][C]1[/C][/ROW]
[ROW][C]50-48[/C][C]-0.833[/C][C]-27.836[/C][C]26.17[/C][C]1[/C][/ROW]
[ROW][C]51-48[/C][C]-0.5[/C][C]-36.728[/C][C]35.728[/C][C]1[/C][/ROW]
[ROW][C]52-48[/C][C]-1.5[/C][C]-37.728[/C][C]34.728[/C][C]1[/C][/ROW]
[ROW][C]54-48[/C][C]-0.5[/C][C]-36.728[/C][C]35.728[/C][C]1[/C][/ROW]
[ROW][C]55-48[/C][C]0.5[/C][C]-35.728[/C][C]36.728[/C][C]1[/C][/ROW]
[ROW][C]56-48[/C][C]-0.5[/C][C]-27.503[/C][C]26.503[/C][C]1[/C][/ROW]
[ROW][C]57-48[/C][C]-0.5[/C][C]-36.728[/C][C]35.728[/C][C]1[/C][/ROW]
[ROW][C]59-48[/C][C]-0.833[/C][C]-27.836[/C][C]26.17[/C][C]1[/C][/ROW]
[ROW][C]60-48[/C][C]-0.167[/C][C]-27.17[/C][C]26.836[/C][C]1[/C][/ROW]
[ROW][C]51-50[/C][C]0.333[/C][C]-33.823[/C][C]34.49[/C][C]1[/C][/ROW]
[ROW][C]52-50[/C][C]-0.667[/C][C]-34.823[/C][C]33.49[/C][C]1[/C][/ROW]
[ROW][C]54-50[/C][C]0.333[/C][C]-33.823[/C][C]34.49[/C][C]1[/C][/ROW]
[ROW][C]55-50[/C][C]1.333[/C][C]-32.823[/C][C]35.49[/C][C]1[/C][/ROW]
[ROW][C]56-50[/C][C]0.333[/C][C]-23.819[/C][C]24.486[/C][C]1[/C][/ROW]
[ROW][C]57-50[/C][C]0.333[/C][C]-33.823[/C][C]34.49[/C][C]1[/C][/ROW]
[ROW][C]59-50[/C][C]0[/C][C]-24.152[/C][C]24.152[/C][C]1[/C][/ROW]
[ROW][C]60-50[/C][C]0.667[/C][C]-23.486[/C][C]24.819[/C][C]1[/C][/ROW]
[ROW][C]52-51[/C][C]-1[/C][C]-42.833[/C][C]40.833[/C][C]1[/C][/ROW]
[ROW][C]54-51[/C][C]0[/C][C]-41.833[/C][C]41.833[/C][C]1[/C][/ROW]
[ROW][C]55-51[/C][C]1[/C][C]-40.833[/C][C]42.833[/C][C]1[/C][/ROW]
[ROW][C]56-51[/C][C]0[/C][C]-34.157[/C][C]34.157[/C][C]1[/C][/ROW]
[ROW][C]57-51[/C][C]0[/C][C]-41.833[/C][C]41.833[/C][C]1[/C][/ROW]
[ROW][C]59-51[/C][C]-0.333[/C][C]-34.49[/C][C]33.823[/C][C]1[/C][/ROW]
[ROW][C]60-51[/C][C]0.333[/C][C]-33.823[/C][C]34.49[/C][C]1[/C][/ROW]
[ROW][C]54-52[/C][C]1[/C][C]-40.833[/C][C]42.833[/C][C]1[/C][/ROW]
[ROW][C]55-52[/C][C]2[/C][C]-39.833[/C][C]43.833[/C][C]1[/C][/ROW]
[ROW][C]56-52[/C][C]1[/C][C]-33.157[/C][C]35.157[/C][C]1[/C][/ROW]
[ROW][C]57-52[/C][C]1[/C][C]-40.833[/C][C]42.833[/C][C]1[/C][/ROW]
[ROW][C]59-52[/C][C]0.667[/C][C]-33.49[/C][C]34.823[/C][C]1[/C][/ROW]
[ROW][C]60-52[/C][C]1.333[/C][C]-32.823[/C][C]35.49[/C][C]1[/C][/ROW]
[ROW][C]55-54[/C][C]1[/C][C]-40.833[/C][C]42.833[/C][C]1[/C][/ROW]
[ROW][C]56-54[/C][C]0[/C][C]-34.157[/C][C]34.157[/C][C]1[/C][/ROW]
[ROW][C]57-54[/C][C]0[/C][C]-41.833[/C][C]41.833[/C][C]1[/C][/ROW]
[ROW][C]59-54[/C][C]-0.333[/C][C]-34.49[/C][C]33.823[/C][C]1[/C][/ROW]
[ROW][C]60-54[/C][C]0.333[/C][C]-33.823[/C][C]34.49[/C][C]1[/C][/ROW]
[ROW][C]56-55[/C][C]-1[/C][C]-35.157[/C][C]33.157[/C][C]1[/C][/ROW]
[ROW][C]57-55[/C][C]-1[/C][C]-42.833[/C][C]40.833[/C][C]1[/C][/ROW]
[ROW][C]59-55[/C][C]-1.333[/C][C]-35.49[/C][C]32.823[/C][C]1[/C][/ROW]
[ROW][C]60-55[/C][C]-0.667[/C][C]-34.823[/C][C]33.49[/C][C]1[/C][/ROW]
[ROW][C]57-56[/C][C]0[/C][C]-34.157[/C][C]34.157[/C][C]1[/C][/ROW]
[ROW][C]59-56[/C][C]-0.333[/C][C]-24.486[/C][C]23.819[/C][C]1[/C][/ROW]
[ROW][C]60-56[/C][C]0.333[/C][C]-23.819[/C][C]24.486[/C][C]1[/C][/ROW]
[ROW][C]59-57[/C][C]-0.333[/C][C]-34.49[/C][C]33.823[/C][C]1[/C][/ROW]
[ROW][C]60-57[/C][C]0.333[/C][C]-33.823[/C][C]34.49[/C][C]1[/C][/ROW]
[ROW][C]60-59[/C][C]0.667[/C][C]-23.486[/C][C]24.819[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62779&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62779&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-12.938-3.4739.3490.979
3-16.407-0.7713.5840.144
30-1-42.879-72.904-12.8540
36-1-43.879-65.42-22.3380
39-1-33.379-49.04-17.7180
41-1-41.879-71.904-11.8540
43-1-42.212-60.05-24.3740
46-1-43.879-73.904-13.8540
48-1-42.379-63.92-20.8380
50-1-43.212-61.05-25.3740
51-1-42.879-72.904-12.8540
52-1-43.879-73.904-13.8540
54-1-42.879-72.904-12.8540
55-1-41.879-71.904-11.8540
56-1-42.879-60.716-25.0410
57-1-42.879-72.904-12.8540
59-1-43.212-61.05-25.3740
60-1-42.545-60.383-24.7080
3-23.469-2.8229.7610.892
30-2-45.817-75.643-15.9910
36-2-46.817-68.079-25.5540
39-2-36.317-51.592-21.0410
41-2-44.817-74.643-14.9910
43-2-45.15-62.65-27.650
46-2-46.817-76.643-16.9910
48-2-45.317-66.579-24.0540
50-2-46.15-63.65-28.650
51-2-45.817-75.643-15.9910
52-2-46.817-76.643-16.9910
54-2-45.817-75.643-15.9910
55-2-44.817-74.643-14.9910
56-2-45.817-63.317-28.3170
57-2-45.817-75.643-15.9910
59-2-46.15-63.65-28.650
60-2-45.483-62.983-27.9830
30-3-49.286-79.286-19.2860
36-3-50.286-71.792-28.780
39-3-39.786-55.398-24.1730
41-3-48.286-78.286-18.2860
43-3-48.619-66.414-30.8240
46-3-50.286-80.286-20.2860
48-3-48.786-70.292-27.280
50-3-49.619-67.414-31.8240
51-3-49.286-79.286-19.2860
52-3-50.286-80.286-20.2860
54-3-49.286-79.286-19.2860
55-3-48.286-78.286-18.2860
56-3-49.286-67.081-31.4910
57-3-49.286-79.286-19.2860
59-3-49.619-67.414-31.8240
60-3-48.952-66.748-31.1570
36-30-1-37.22835.2281
39-309.5-23.57242.5721
41-301-40.83342.8331
43-300.667-33.4934.8231
46-30-1-42.83340.8331
48-300.5-35.72836.7281
50-30-0.333-34.4933.8231
51-300-41.83341.8331
52-30-1-42.83340.8331
54-300-41.83341.8331
55-301-40.83342.8331
56-300-34.15734.1571
57-300-41.83341.8331
59-30-0.333-34.4933.8231
60-300.333-33.82334.491
39-3610.5-15.11736.1170.994
41-362-34.22838.2281
43-361.667-25.33628.671
46-360-36.22836.2281
48-361.5-28.0831.081
50-360.667-26.33627.671
51-361-35.22837.2281
52-360-36.22836.2281
54-361-35.22837.2281
55-362-34.22838.2281
56-361-26.00328.0031
57-361-35.22837.2281
59-360.667-26.33627.671
60-361.333-25.6728.3361
41-39-8.5-41.57224.5721
43-39-8.833-31.42613.7590.996
46-39-10.5-43.57222.5721
48-39-9-34.61716.6170.999
50-39-9.833-32.42612.7590.988
51-39-9.5-42.57223.5721
52-39-10.5-43.57222.5721
54-39-9.5-42.57223.5721
55-39-8.5-41.57224.5721
56-39-9.5-32.09213.0920.992
57-39-9.5-42.57223.5721
59-39-9.833-32.42612.7590.988
60-39-9.167-31.75913.4260.994
43-41-0.333-34.4933.8231
46-41-2-43.83339.8331
48-41-0.5-36.72835.7281
50-41-1.333-35.4932.8231
51-41-1-42.83340.8331
52-41-2-43.83339.8331
54-41-1-42.83340.8331
55-410-41.83341.8331
56-41-1-35.15733.1571
57-41-1-42.83340.8331
59-41-1.333-35.4932.8231
60-41-0.667-34.82333.491
46-43-1.667-35.82332.491
48-43-0.167-27.1726.8361
50-43-1-25.15223.1521
51-43-0.667-34.82333.491
52-43-1.667-35.82332.491
54-43-0.667-34.82333.491
55-430.333-33.82334.491
56-43-0.667-24.81923.4861
57-43-0.667-34.82333.491
59-43-1-25.15223.1521
60-43-0.333-24.48623.8191
48-461.5-34.72837.7281
50-460.667-33.4934.8231
51-461-40.83342.8331
52-460-41.83341.8331
54-461-40.83342.8331
55-462-39.83343.8331
56-461-33.15735.1571
57-461-40.83342.8331
59-460.667-33.4934.8231
60-461.333-32.82335.491
50-48-0.833-27.83626.171
51-48-0.5-36.72835.7281
52-48-1.5-37.72834.7281
54-48-0.5-36.72835.7281
55-480.5-35.72836.7281
56-48-0.5-27.50326.5031
57-48-0.5-36.72835.7281
59-48-0.833-27.83626.171
60-48-0.167-27.1726.8361
51-500.333-33.82334.491
52-50-0.667-34.82333.491
54-500.333-33.82334.491
55-501.333-32.82335.491
56-500.333-23.81924.4861
57-500.333-33.82334.491
59-500-24.15224.1521
60-500.667-23.48624.8191
52-51-1-42.83340.8331
54-510-41.83341.8331
55-511-40.83342.8331
56-510-34.15734.1571
57-510-41.83341.8331
59-51-0.333-34.4933.8231
60-510.333-33.82334.491
54-521-40.83342.8331
55-522-39.83343.8331
56-521-33.15735.1571
57-521-40.83342.8331
59-520.667-33.4934.8231
60-521.333-32.82335.491
55-541-40.83342.8331
56-540-34.15734.1571
57-540-41.83341.8331
59-54-0.333-34.4933.8231
60-540.333-33.82334.491
56-55-1-35.15733.1571
57-55-1-42.83340.8331
59-55-1.333-35.4932.8231
60-55-0.667-34.82333.491
57-560-34.15734.1571
59-56-0.333-24.48623.8191
60-560.333-23.81924.4861
59-57-0.333-34.4933.8231
60-570.333-33.82334.491
60-590.667-23.48624.8191






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group181.8190.028
140 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 18 & 1.819 & 0.028 \tabularnewline
  & 140 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62779&T=4

[TABLE]
[ROW][C]Levenes Test for Homogeneity of Variance[/C][/ROW]
[ROW][C] [/C][C]Df[/C][C]F value[/C][C]Pr(>F)[/C][/ROW]
[ROW][C]Group[/C][C]18[/C][C]1.819[/C][C]0.028[/C][/ROW]
[ROW][C] [/C][C]140[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62779&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62779&T=4

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group181.8190.028
140


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = TRUE ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = TRUE ;
R code (references can be found in the software module):
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
intercept<-as.logical(par3)
x <- t(x)
x1<-as.numeric(x[,cat1])
f1<-as.character(x[,cat2])
xdf<-data.frame(x1,f1)
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
names(xdf)<-c('Response', 'Treatment')
if(intercept == FALSE) (lmxdf<-lm(Response ~ Treatment - 1, data = xdf) ) else (lmxdf<-lm(Response ~ Treatment, data = xdf) )
(aov.xdf<-aov(lmxdf) )
(anova.xdf<-anova(lmxdf) )
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Model', length(lmxdf$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, paste(V1, ' ~ ', V2), length(lmxdf$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'means',,TRUE)
for(i in 1:length(lmxdf$coefficients)){
a<-table.element(a, round(lmxdf$coefficients[i], digits=3),,FALSE)
}
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Statistics', 5+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ',,TRUE)
a<-table.element(a, 'Df',,FALSE)
a<-table.element(a, 'Sum Sq',,FALSE)
a<-table.element(a, 'Mean Sq',,FALSE)
a<-table.element(a, 'F value',,FALSE)
a<-table.element(a, 'Pr(>F)',,FALSE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, V2,,TRUE)
a<-table.element(a, anova.xdf$Df[1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'F value'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Pr(>F)'[1], digits=3),,FALSE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residuals',,TRUE)
a<-table.element(a, anova.xdf$Df[2],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[2], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[2], digits=3),,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
bitmap(file='anovaplot.png')
boxplot(Response ~ Treatment, data=xdf, xlab=V2, ylab=V1)
dev.off()
if(intercept==TRUE){
thsd<-TukeyHSD(aov.xdf)
bitmap(file='TukeyHSDPlot.png')
plot(thsd)
dev.off()
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tukey Honest Significant Difference Comparisons', 5,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1, TRUE)
for(i in 1:4){
a<-table.element(a,colnames(thsd[[1]])[i], 1, TRUE)
}
a<-table.row.end(a)
for(i in 1:length(rownames(thsd[[1]]))){
a<-table.row.start(a)
a<-table.element(a,rownames(thsd[[1]])[i], 1, TRUE)
for(j in 1:4){
a<-table.element(a,round(thsd[[1]][i,j], digits=3), 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
}
if(intercept==FALSE){
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'TukeyHSD Message', 1,TRUE)
a<-table.row.end(a)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Must Include Intercept to use Tukey Test ', 1, FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')
}
library(car)
lt.lmxdf<-levene.test(lmxdf)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Levenes Test for Homogeneity of Variance', 4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ', 1, TRUE)
for (i in 1:3){
a<-table.element(a,names(lt.lmxdf)[i], 1, FALSE)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Group', 1, TRUE)
for (i in 1:3){
a<-table.element(a,round(lt.lmxdf[[i]][1], digits=3), 1, FALSE)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ', 1, TRUE)
a<-table.element(a,lt.lmxdf[[1]][2], 1, FALSE)
a<-table.element(a,' ', 1, FALSE)
a<-table.element(a,' ', 1, FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')