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Author*Unverified author*
R Software Modulerwasp_Two Factor ANOVA.wasp
Title produced by softwareTwo-Way ANOVA
Date of computationFri, 16 Nov 2018 19:43:32 +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/2018/Nov/16/t154239498629w74xv2keuxavv.htm/, Retrieved Fri, 03 May 2024 19:39:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=315661, Retrieved Fri, 03 May 2024 19:39:02 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact109
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Two-Way ANOVA] [ANOVA determinist...] [2018-11-16 18:43:32] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
101.6113 5.0 0
107.6797 1.0 0
106.9359 1.0 0
106.5295 1.0 0
111.9961 1.0 0
107.9677 1.0 0
105.7693 2.0 0
108.9876 2.0 0
116.3225 2.0 0
106.8149 2.0 0
104.1163 2.0 0
104.2964 3.0 0
106.1875 3.0 0
107.7329 3.0 0
103.5092 3.0 0
105.8768 3.0 0
105.1694 4.0 0
104.9496 4.0 0
105.9516 4.0 0
103.0557 4.0 0
101.8056 4.0 0
105.0697 5.0 0
105.1203 5.0 0
105.7094 5.0 0
102.2145 5.0 0
99.8116 5.0 1
102.3755 5.0 1
100.0563 5.0 1
103.3186 1.0 1
104.3560 1.0 1
101.8607 1.0 1
104.0642 1.0 1
104.6707 1.0 1
101.4024 2.0 1
105.0823 2.0 1
102.2707 2.0 1
104.2016 2.0 1
102.5793 2.0 1
102.1005 3.0 1
101.2222 3.0 1
102.4116 3.0 1
102.6340 3.0 1
101.2741 3.0 1
102.1321 4.0 1
101.3785 4.0 1
99.2232 4.0 1
100.6651 4.0 1
101.7754 4.0 1
101.8385 5.0 1
102.3122 5.0 1




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time4 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315661&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]4 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=315661&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315661&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R ServerBig Analytics Cloud Computing Center







ANOVA Model
Response ~ Treatment_A * Treatment_B
means108.2220.18-2.701-4.035-4.277-4.568-0.7270.9761.4161.902

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Response ~ Treatment_A * Treatment_B \tabularnewline
means & 108.222 & 0.18 & -2.701 & -4.035 & -4.277 & -4.568 & -0.727 & 0.976 & 1.416 & 1.902 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315661&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Response ~ Treatment_A * Treatment_B[/C][/ROW]
[ROW][C]means[/C][C]108.222[/C][C]0.18[/C][C]-2.701[/C][C]-4.035[/C][C]-4.277[/C][C]-4.568[/C][C]-0.727[/C][C]0.976[/C][C]1.416[/C][C]1.902[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315661&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315661&T=1

As an alternative you can also use a QR Code:  

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

ANOVA Model
Response ~ Treatment_A * Treatment_B
means108.2220.18-2.701-4.035-4.277-4.568-0.7270.9761.4161.902







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
4
Treatment_A4106.85626.7146.1390.001
Treatment_B4185.713185.71342.680
Treatment_A:Treatment_B411.3962.8490.6550.627
Residuals40174.0524.351

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
 & 4 &  &  &  &  \tabularnewline
Treatment_A & 4 & 106.856 & 26.714 & 6.139 & 0.001 \tabularnewline
Treatment_B & 4 & 185.713 & 185.713 & 42.68 & 0 \tabularnewline
Treatment_A:Treatment_B & 4 & 11.396 & 2.849 & 0.655 & 0.627 \tabularnewline
Residuals & 40 & 174.052 & 4.351 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315661&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][/C][C]4[/C][C][/C][C][/C][C][/C][C][/C][/ROW]
[ROW][C]Treatment_A[/C][C]4[/C][C]106.856[/C][C]26.714[/C][C]6.139[/C][C]0.001[/C][/ROW]
[ROW][C]Treatment_B[/C][C]4[/C][C]185.713[/C][C]185.713[/C][C]42.68[/C][C]0[/C][/ROW]
[ROW][C]Treatment_A:Treatment_B[/C][C]4[/C][C]11.396[/C][C]2.849[/C][C]0.655[/C][C]0.627[/C][/ROW]
[ROW][C]Residuals[/C][C]40[/C][C]174.052[/C][C]4.351[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315661&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315661&T=2

As an alternative you can also use a QR Code:  

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

ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
4
Treatment_A4106.85626.7146.1390.001
Treatment_B4185.713185.71342.680
Treatment_A:Treatment_B411.3962.8490.6550.627
Residuals40174.0524.351







Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-1-0.183-2.8482.4811
3-1-2.213-4.8780.4510.144
4-1-3.327-5.992-0.6630.008
5-1-3.326-5.99-0.6620.008
3-2-2.03-4.6950.6340.21
4-2-3.144-5.808-0.480.014
5-2-3.143-5.807-0.4780.014
4-3-1.114-3.7781.550.755
5-3-1.113-3.7771.5520.755
5-40.001-2.6632.6661
1-0-3.854-5.047-2.6620
2:0-1:00.18-4.2364.5971
3:0-1:0-2.701-7.1181.7160.573
4:0-1:0-4.035-8.4520.3810.099
5:0-1:0-4.277-8.6930.140.065
1:1-1:0-4.568-8.984-0.1510.038
2:1-1:0-5.115-9.531-0.6980.013
3:1-1:0-6.293-10.71-1.8770.001
4:1-1:0-7.187-11.604-2.770
5:1-1:0-6.943-11.36-2.5260
3:0-2:0-2.882-7.2981.5350.483
4:0-2:0-4.216-8.6320.2010.072
5:0-2:0-4.457-8.874-0.040.046
1:1-2:0-4.748-9.165-0.3310.026
2:1-2:0-5.295-9.712-0.8780.009
3:1-2:0-6.474-10.89-2.0570.001
4:1-2:0-7.367-11.784-2.9510
5:1-2:0-7.123-11.54-2.7070
4:0-3:0-1.334-5.7513.0830.99
5:0-3:0-1.576-5.9922.8410.969
1:1-3:0-1.867-6.2832.550.915
2:1-3:0-2.413-6.832.0030.713
3:1-3:0-3.592-8.0090.8250.199
4:1-3:0-4.486-8.902-0.0690.044
5:1-3:0-4.242-8.6580.1750.069
5:0-4:0-0.241-4.6584.1751
1:1-4:0-0.532-4.9493.8841
2:1-4:0-1.079-5.4963.3380.998
3:1-4:0-2.258-6.6752.1590.783
4:1-4:0-3.152-7.5681.2650.359
5:1-4:0-2.908-7.3241.5090.471
1:1-5:0-0.291-4.7084.1261
2:1-5:0-0.838-5.2553.5791
3:1-5:0-2.017-6.4332.40.873
4:1-5:0-2.91-7.3271.5070.47
5:1-5:0-2.666-7.0831.7510.59
2:1-1:1-0.547-4.9643.871
3:1-1:1-1.726-6.1422.6910.946
4:1-1:1-2.619-7.0361.7980.614
5:1-1:1-2.375-6.7922.0420.731
3:1-2:1-1.179-5.5963.2380.996
4:1-2:1-2.072-6.4892.3440.854
5:1-2:1-1.828-6.2452.5880.924
4:1-3:1-0.894-5.313.5231
5:1-3:1-0.65-5.0663.7671
5:1-4:10.244-4.1734.6611

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & -0.183 & -2.848 & 2.481 & 1 \tabularnewline
3-1 & -2.213 & -4.878 & 0.451 & 0.144 \tabularnewline
4-1 & -3.327 & -5.992 & -0.663 & 0.008 \tabularnewline
5-1 & -3.326 & -5.99 & -0.662 & 0.008 \tabularnewline
3-2 & -2.03 & -4.695 & 0.634 & 0.21 \tabularnewline
4-2 & -3.144 & -5.808 & -0.48 & 0.014 \tabularnewline
5-2 & -3.143 & -5.807 & -0.478 & 0.014 \tabularnewline
4-3 & -1.114 & -3.778 & 1.55 & 0.755 \tabularnewline
5-3 & -1.113 & -3.777 & 1.552 & 0.755 \tabularnewline
5-4 & 0.001 & -2.663 & 2.666 & 1 \tabularnewline
1-0 & -3.854 & -5.047 & -2.662 & 0 \tabularnewline
2:0-1:0 & 0.18 & -4.236 & 4.597 & 1 \tabularnewline
3:0-1:0 & -2.701 & -7.118 & 1.716 & 0.573 \tabularnewline
4:0-1:0 & -4.035 & -8.452 & 0.381 & 0.099 \tabularnewline
5:0-1:0 & -4.277 & -8.693 & 0.14 & 0.065 \tabularnewline
1:1-1:0 & -4.568 & -8.984 & -0.151 & 0.038 \tabularnewline
2:1-1:0 & -5.115 & -9.531 & -0.698 & 0.013 \tabularnewline
3:1-1:0 & -6.293 & -10.71 & -1.877 & 0.001 \tabularnewline
4:1-1:0 & -7.187 & -11.604 & -2.77 & 0 \tabularnewline
5:1-1:0 & -6.943 & -11.36 & -2.526 & 0 \tabularnewline
3:0-2:0 & -2.882 & -7.298 & 1.535 & 0.483 \tabularnewline
4:0-2:0 & -4.216 & -8.632 & 0.201 & 0.072 \tabularnewline
5:0-2:0 & -4.457 & -8.874 & -0.04 & 0.046 \tabularnewline
1:1-2:0 & -4.748 & -9.165 & -0.331 & 0.026 \tabularnewline
2:1-2:0 & -5.295 & -9.712 & -0.878 & 0.009 \tabularnewline
3:1-2:0 & -6.474 & -10.89 & -2.057 & 0.001 \tabularnewline
4:1-2:0 & -7.367 & -11.784 & -2.951 & 0 \tabularnewline
5:1-2:0 & -7.123 & -11.54 & -2.707 & 0 \tabularnewline
4:0-3:0 & -1.334 & -5.751 & 3.083 & 0.99 \tabularnewline
5:0-3:0 & -1.576 & -5.992 & 2.841 & 0.969 \tabularnewline
1:1-3:0 & -1.867 & -6.283 & 2.55 & 0.915 \tabularnewline
2:1-3:0 & -2.413 & -6.83 & 2.003 & 0.713 \tabularnewline
3:1-3:0 & -3.592 & -8.009 & 0.825 & 0.199 \tabularnewline
4:1-3:0 & -4.486 & -8.902 & -0.069 & 0.044 \tabularnewline
5:1-3:0 & -4.242 & -8.658 & 0.175 & 0.069 \tabularnewline
5:0-4:0 & -0.241 & -4.658 & 4.175 & 1 \tabularnewline
1:1-4:0 & -0.532 & -4.949 & 3.884 & 1 \tabularnewline
2:1-4:0 & -1.079 & -5.496 & 3.338 & 0.998 \tabularnewline
3:1-4:0 & -2.258 & -6.675 & 2.159 & 0.783 \tabularnewline
4:1-4:0 & -3.152 & -7.568 & 1.265 & 0.359 \tabularnewline
5:1-4:0 & -2.908 & -7.324 & 1.509 & 0.471 \tabularnewline
1:1-5:0 & -0.291 & -4.708 & 4.126 & 1 \tabularnewline
2:1-5:0 & -0.838 & -5.255 & 3.579 & 1 \tabularnewline
3:1-5:0 & -2.017 & -6.433 & 2.4 & 0.873 \tabularnewline
4:1-5:0 & -2.91 & -7.327 & 1.507 & 0.47 \tabularnewline
5:1-5:0 & -2.666 & -7.083 & 1.751 & 0.59 \tabularnewline
2:1-1:1 & -0.547 & -4.964 & 3.87 & 1 \tabularnewline
3:1-1:1 & -1.726 & -6.142 & 2.691 & 0.946 \tabularnewline
4:1-1:1 & -2.619 & -7.036 & 1.798 & 0.614 \tabularnewline
5:1-1:1 & -2.375 & -6.792 & 2.042 & 0.731 \tabularnewline
3:1-2:1 & -1.179 & -5.596 & 3.238 & 0.996 \tabularnewline
4:1-2:1 & -2.072 & -6.489 & 2.344 & 0.854 \tabularnewline
5:1-2:1 & -1.828 & -6.245 & 2.588 & 0.924 \tabularnewline
4:1-3:1 & -0.894 & -5.31 & 3.523 & 1 \tabularnewline
5:1-3:1 & -0.65 & -5.066 & 3.767 & 1 \tabularnewline
5:1-4:1 & 0.244 & -4.173 & 4.661 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315661&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]-0.183[/C][C]-2.848[/C][C]2.481[/C][C]1[/C][/ROW]
[ROW][C]3-1[/C][C]-2.213[/C][C]-4.878[/C][C]0.451[/C][C]0.144[/C][/ROW]
[ROW][C]4-1[/C][C]-3.327[/C][C]-5.992[/C][C]-0.663[/C][C]0.008[/C][/ROW]
[ROW][C]5-1[/C][C]-3.326[/C][C]-5.99[/C][C]-0.662[/C][C]0.008[/C][/ROW]
[ROW][C]3-2[/C][C]-2.03[/C][C]-4.695[/C][C]0.634[/C][C]0.21[/C][/ROW]
[ROW][C]4-2[/C][C]-3.144[/C][C]-5.808[/C][C]-0.48[/C][C]0.014[/C][/ROW]
[ROW][C]5-2[/C][C]-3.143[/C][C]-5.807[/C][C]-0.478[/C][C]0.014[/C][/ROW]
[ROW][C]4-3[/C][C]-1.114[/C][C]-3.778[/C][C]1.55[/C][C]0.755[/C][/ROW]
[ROW][C]5-3[/C][C]-1.113[/C][C]-3.777[/C][C]1.552[/C][C]0.755[/C][/ROW]
[ROW][C]5-4[/C][C]0.001[/C][C]-2.663[/C][C]2.666[/C][C]1[/C][/ROW]
[ROW][C]1-0[/C][C]-3.854[/C][C]-5.047[/C][C]-2.662[/C][C]0[/C][/ROW]
[ROW][C]2:0-1:0[/C][C]0.18[/C][C]-4.236[/C][C]4.597[/C][C]1[/C][/ROW]
[ROW][C]3:0-1:0[/C][C]-2.701[/C][C]-7.118[/C][C]1.716[/C][C]0.573[/C][/ROW]
[ROW][C]4:0-1:0[/C][C]-4.035[/C][C]-8.452[/C][C]0.381[/C][C]0.099[/C][/ROW]
[ROW][C]5:0-1:0[/C][C]-4.277[/C][C]-8.693[/C][C]0.14[/C][C]0.065[/C][/ROW]
[ROW][C]1:1-1:0[/C][C]-4.568[/C][C]-8.984[/C][C]-0.151[/C][C]0.038[/C][/ROW]
[ROW][C]2:1-1:0[/C][C]-5.115[/C][C]-9.531[/C][C]-0.698[/C][C]0.013[/C][/ROW]
[ROW][C]3:1-1:0[/C][C]-6.293[/C][C]-10.71[/C][C]-1.877[/C][C]0.001[/C][/ROW]
[ROW][C]4:1-1:0[/C][C]-7.187[/C][C]-11.604[/C][C]-2.77[/C][C]0[/C][/ROW]
[ROW][C]5:1-1:0[/C][C]-6.943[/C][C]-11.36[/C][C]-2.526[/C][C]0[/C][/ROW]
[ROW][C]3:0-2:0[/C][C]-2.882[/C][C]-7.298[/C][C]1.535[/C][C]0.483[/C][/ROW]
[ROW][C]4:0-2:0[/C][C]-4.216[/C][C]-8.632[/C][C]0.201[/C][C]0.072[/C][/ROW]
[ROW][C]5:0-2:0[/C][C]-4.457[/C][C]-8.874[/C][C]-0.04[/C][C]0.046[/C][/ROW]
[ROW][C]1:1-2:0[/C][C]-4.748[/C][C]-9.165[/C][C]-0.331[/C][C]0.026[/C][/ROW]
[ROW][C]2:1-2:0[/C][C]-5.295[/C][C]-9.712[/C][C]-0.878[/C][C]0.009[/C][/ROW]
[ROW][C]3:1-2:0[/C][C]-6.474[/C][C]-10.89[/C][C]-2.057[/C][C]0.001[/C][/ROW]
[ROW][C]4:1-2:0[/C][C]-7.367[/C][C]-11.784[/C][C]-2.951[/C][C]0[/C][/ROW]
[ROW][C]5:1-2:0[/C][C]-7.123[/C][C]-11.54[/C][C]-2.707[/C][C]0[/C][/ROW]
[ROW][C]4:0-3:0[/C][C]-1.334[/C][C]-5.751[/C][C]3.083[/C][C]0.99[/C][/ROW]
[ROW][C]5:0-3:0[/C][C]-1.576[/C][C]-5.992[/C][C]2.841[/C][C]0.969[/C][/ROW]
[ROW][C]1:1-3:0[/C][C]-1.867[/C][C]-6.283[/C][C]2.55[/C][C]0.915[/C][/ROW]
[ROW][C]2:1-3:0[/C][C]-2.413[/C][C]-6.83[/C][C]2.003[/C][C]0.713[/C][/ROW]
[ROW][C]3:1-3:0[/C][C]-3.592[/C][C]-8.009[/C][C]0.825[/C][C]0.199[/C][/ROW]
[ROW][C]4:1-3:0[/C][C]-4.486[/C][C]-8.902[/C][C]-0.069[/C][C]0.044[/C][/ROW]
[ROW][C]5:1-3:0[/C][C]-4.242[/C][C]-8.658[/C][C]0.175[/C][C]0.069[/C][/ROW]
[ROW][C]5:0-4:0[/C][C]-0.241[/C][C]-4.658[/C][C]4.175[/C][C]1[/C][/ROW]
[ROW][C]1:1-4:0[/C][C]-0.532[/C][C]-4.949[/C][C]3.884[/C][C]1[/C][/ROW]
[ROW][C]2:1-4:0[/C][C]-1.079[/C][C]-5.496[/C][C]3.338[/C][C]0.998[/C][/ROW]
[ROW][C]3:1-4:0[/C][C]-2.258[/C][C]-6.675[/C][C]2.159[/C][C]0.783[/C][/ROW]
[ROW][C]4:1-4:0[/C][C]-3.152[/C][C]-7.568[/C][C]1.265[/C][C]0.359[/C][/ROW]
[ROW][C]5:1-4:0[/C][C]-2.908[/C][C]-7.324[/C][C]1.509[/C][C]0.471[/C][/ROW]
[ROW][C]1:1-5:0[/C][C]-0.291[/C][C]-4.708[/C][C]4.126[/C][C]1[/C][/ROW]
[ROW][C]2:1-5:0[/C][C]-0.838[/C][C]-5.255[/C][C]3.579[/C][C]1[/C][/ROW]
[ROW][C]3:1-5:0[/C][C]-2.017[/C][C]-6.433[/C][C]2.4[/C][C]0.873[/C][/ROW]
[ROW][C]4:1-5:0[/C][C]-2.91[/C][C]-7.327[/C][C]1.507[/C][C]0.47[/C][/ROW]
[ROW][C]5:1-5:0[/C][C]-2.666[/C][C]-7.083[/C][C]1.751[/C][C]0.59[/C][/ROW]
[ROW][C]2:1-1:1[/C][C]-0.547[/C][C]-4.964[/C][C]3.87[/C][C]1[/C][/ROW]
[ROW][C]3:1-1:1[/C][C]-1.726[/C][C]-6.142[/C][C]2.691[/C][C]0.946[/C][/ROW]
[ROW][C]4:1-1:1[/C][C]-2.619[/C][C]-7.036[/C][C]1.798[/C][C]0.614[/C][/ROW]
[ROW][C]5:1-1:1[/C][C]-2.375[/C][C]-6.792[/C][C]2.042[/C][C]0.731[/C][/ROW]
[ROW][C]3:1-2:1[/C][C]-1.179[/C][C]-5.596[/C][C]3.238[/C][C]0.996[/C][/ROW]
[ROW][C]4:1-2:1[/C][C]-2.072[/C][C]-6.489[/C][C]2.344[/C][C]0.854[/C][/ROW]
[ROW][C]5:1-2:1[/C][C]-1.828[/C][C]-6.245[/C][C]2.588[/C][C]0.924[/C][/ROW]
[ROW][C]4:1-3:1[/C][C]-0.894[/C][C]-5.31[/C][C]3.523[/C][C]1[/C][/ROW]
[ROW][C]5:1-3:1[/C][C]-0.65[/C][C]-5.066[/C][C]3.767[/C][C]1[/C][/ROW]
[ROW][C]5:1-4:1[/C][C]0.244[/C][C]-4.173[/C][C]4.661[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315661&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315661&T=3

As an alternative you can also use a QR Code:  

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

Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-1-0.183-2.8482.4811
3-1-2.213-4.8780.4510.144
4-1-3.327-5.992-0.6630.008
5-1-3.326-5.99-0.6620.008
3-2-2.03-4.6950.6340.21
4-2-3.144-5.808-0.480.014
5-2-3.143-5.807-0.4780.014
4-3-1.114-3.7781.550.755
5-3-1.113-3.7771.5520.755
5-40.001-2.6632.6661
1-0-3.854-5.047-2.6620
2:0-1:00.18-4.2364.5971
3:0-1:0-2.701-7.1181.7160.573
4:0-1:0-4.035-8.4520.3810.099
5:0-1:0-4.277-8.6930.140.065
1:1-1:0-4.568-8.984-0.1510.038
2:1-1:0-5.115-9.531-0.6980.013
3:1-1:0-6.293-10.71-1.8770.001
4:1-1:0-7.187-11.604-2.770
5:1-1:0-6.943-11.36-2.5260
3:0-2:0-2.882-7.2981.5350.483
4:0-2:0-4.216-8.6320.2010.072
5:0-2:0-4.457-8.874-0.040.046
1:1-2:0-4.748-9.165-0.3310.026
2:1-2:0-5.295-9.712-0.8780.009
3:1-2:0-6.474-10.89-2.0570.001
4:1-2:0-7.367-11.784-2.9510
5:1-2:0-7.123-11.54-2.7070
4:0-3:0-1.334-5.7513.0830.99
5:0-3:0-1.576-5.9922.8410.969
1:1-3:0-1.867-6.2832.550.915
2:1-3:0-2.413-6.832.0030.713
3:1-3:0-3.592-8.0090.8250.199
4:1-3:0-4.486-8.902-0.0690.044
5:1-3:0-4.242-8.6580.1750.069
5:0-4:0-0.241-4.6584.1751
1:1-4:0-0.532-4.9493.8841
2:1-4:0-1.079-5.4963.3380.998
3:1-4:0-2.258-6.6752.1590.783
4:1-4:0-3.152-7.5681.2650.359
5:1-4:0-2.908-7.3241.5090.471
1:1-5:0-0.291-4.7084.1261
2:1-5:0-0.838-5.2553.5791
3:1-5:0-2.017-6.4332.40.873
4:1-5:0-2.91-7.3271.5070.47
5:1-5:0-2.666-7.0831.7510.59
2:1-1:1-0.547-4.9643.871
3:1-1:1-1.726-6.1422.6910.946
4:1-1:1-2.619-7.0361.7980.614
5:1-1:1-2.375-6.7922.0420.731
3:1-2:1-1.179-5.5963.2380.996
4:1-2:1-2.072-6.4892.3440.854
5:1-2:1-1.828-6.2452.5880.924
4:1-3:1-0.894-5.313.5231
5:1-3:1-0.65-5.0663.7671
5:1-4:10.244-4.1734.6611







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group90.9650.483
40

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 9 & 0.965 & 0.483 \tabularnewline
  & 40 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315661&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]9[/C][C]0.965[/C][C]0.483[/C][/ROW]
[ROW][C] [/C][C]40[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315661&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315661&T=4

As an alternative you can also use a QR Code:  

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

Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group90.9650.483
40



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = 3 ; par4 = TRUE ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = 3 ; par4 = TRUE ;
R code (references can be found in the software module):
par4 <- 'TRUE'
par3 <- 'Model'
par2 <- 'Cut'
par1 <- 'PPL'
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
cat3 <- as.numeric(par3)
intercept<-as.logical(par4)
x <- t(x)
x1<-as.numeric(x[,cat1])
f1<-as.character(x[,cat2])
f2 <- as.character(x[,cat3])
xdf<-data.frame(x1,f1, f2)
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
(V3 <-dimnames(y)[[1]][cat3])
names(xdf)<-c('Response', 'Treatment_A', 'Treatment_B')
if(intercept == FALSE) (lmxdf<-lm(Response ~ Treatment_A * Treatment_B- 1, data = xdf) ) else (lmxdf<-lm(Response ~ Treatment_A * Treatment_B, 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$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, lmxdf$call['formula'],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$coefficients[i], digits=3),,FALSE)
}
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Statistics', 5+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ',,TRUE)
a<-table.element(a, 'Df',,FALSE)
a<-table.element(a, 'Sum Sq',,FALSE)
a<-table.element(a, 'Mean Sq',,FALSE)
a<-table.element(a, 'F value',,FALSE)
a<-table.element(a, 'Pr(>F)',,FALSE)
a<-table.row.end(a)
for(i in 1 : length(rownames(anova.xdf))-1){
a<-table.row.start(a)
a<-table.element(a,rownames(anova.xdf)[i] ,,TRUE)
a<-table.element(a, anova.xdf$Df[1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[i], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[i], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'F value'[i], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Pr(>F)'[i], 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$'Df'[i+1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[i+1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[i+1], digits=3),,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
bitmap(file='anovaplot.png')
boxplot(Response ~ Treatment_A + Treatment_B, data=xdf, xlab=V2, ylab=V1, main='Boxplots of ANOVA Groups')
dev.off()
bitmap(file='designplot.png')
xdf2 <- xdf # to preserve xdf make copy for function
names(xdf2) <- c(V1, V2, V3)
plot.design(xdf2, main='Design Plot of Group Means')
dev.off()
bitmap(file='interactionplot.png')
interaction.plot(xdf$Treatment_A, xdf$Treatment_B, xdf$Response, xlab=V2, ylab=V1, trace.label=V3, main='Possible Interactions Between Anova Groups')
dev.off()
if(intercept==TRUE){
thsd<-TukeyHSD(aov.xdf)
names(thsd) <- c(V2, V3, paste(V2, ':', V3, sep=''))
bitmap(file='TukeyHSDPlot.png')
layout(matrix(c(1,2,3,3), 2,2))
plot(thsd, las=1)
dev.off()
}
if(intercept==TRUE){
ntables<-length(names(thsd))
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(nt in 1:ntables){
for(i in 1:length(rownames(thsd[[nt]]))){
a<-table.row.start(a)
a<-table.element(a,rownames(thsd[[nt]])[i], 1, TRUE)
for(j in 1:4){
a<-table.element(a,round(thsd[[nt]][i,j], digits=3), 1, FALSE)
}
a<-table.row.end(a)
}
} # end nt
a<-table.end(a)
table.save(a,file='hsdtable.tab')
}#end if hsd tables
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')