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Author*The author of this computation has been verified*
R Software Modulerwasp_Two Factor ANOVA.wasp
Title produced by softwareTwo-Way ANOVA
Date of computationThu, 21 Dec 2017 15:28:00 +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/2017/Dec/21/t1513866598i2zzz3qd8wm6xgd.htm/, Retrieved Tue, 14 May 2024 20:52:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=310650, Retrieved Tue, 14 May 2024 20:52:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact55
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Two-Way ANOVA] [] [2017-12-21 14:28:00] [767bae2faba658f23149559b7968621e] [Current]
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Dataseries X:
10 5 "'F'"
8 5 "'M'"
8 3 "'M'"
9 3 "'M'"
5 5 "'F'"
10 4 "'M'"
8 4 "'M'"
9 5 "'M'"
8 1 "'F'"
7 4 "'F'"
10 4 "'F'"
10 1 "'F'"
9 3 "'M'"
4 2 "'F'"
4 3 "'M'"
8 4 "'M'"
9 3 "'M'"
10 2 "'M'"
8 3 "'F'"
5 3 "'F'"
10 4 "'M'"
8 4 "'F'"
7 4 "'M'"
8 4 "'M'"
8 3 "'M'"
9 4 "'F'"
8 4 "'F'"
6 3 "'M'"
8 3 "'M'"
8 3 "'F'"
5 4 "'M'"
9 4 "'M'"
8 4 "'F'"
8 4 "'F'"
8 3 "'F'"
6 1 "'F'"
6 3 "'F'"
9 4 "'M'"
8 4 "'M'"
9 4 "'M'"
10 4 "'M'"
8 4 "'F'"
8 4 "'F'"
7 3 "'F'"
7 3 "'M'"
10 2 "'M'"
8 4 "'M'"
7 3 "'M'"
10 3 "'M'"
7 4 "'M'"
7 3 "'F'"
9 3 "'F'"
9 5 "'F'"
8 3 "'F'"
6 4 "'F'"
8 4 "'F'"
9 4 "'M'"
2 4 "'F'"
6 4 "'F'"
8 4 "'M'"
8 4 "'M'"
7 4 "'F'"
8 2 "'F'"
6 4 "'F'"
10 4 "'F'"
10 4 "'F'"
10 2 "'F'"
8 3 "'F'"
8 5 "'M'"
7 4 "'M'"
10 5 "'M'"
5 3 "'F'"
3 2 "'M'"
2 2 "'M'"
3 2 "'M'"
4 4 "'M'"
2 2 "'F'"
6 4 "'F'"
8 4 "'F'"
8 4 "'F'"
5 4 "'F'"
10 5 "'M'"
9 4 "'M'"
8 4 "'M'"
9 4 "'M'"
8 3 "'M'"
5 3 "'F'"
7 3 "'M'"
9 5 "'M'"
8 4 "'F'"
4 3 "'M'"
7 3 "'M'"
8 3 "'M'"
7 3 "'F'"
7 3 "'M'"
9 3 "'F'"
6 3 "'M'"
7 3 "'F'"
4 3 "'F'"
6 3 "'M'"
10 4 "'F'"
9 4 "'M'"
10 5 "'M'"
8 4 "'F'"
4 3 "'F'"
8 3 "'M'"
5 5 "'F'"
8 3 "'M'"
9 3 "'M'"
8 3 "'F'"
4 5 "'M'"
8 4 "'F'"
10 5 "'M'"
6 2 "'F'"
7 3 "'F'"
10 4 "'M'"
9 4 "'M'"
8 5 "'M'"
3 4 "'F'"
8 4 "'F'"
7 4 "'F'"
7 4 "'F'"
8 4 "'F'"
8 4 "'M'"
7 5 "'F'"
7 3 "'M'"
9 4 "'F'"
9 4 "'M'"
9 2 "'F'"
4 4 "'M'"
6 4 "'F'"
6 2 "'M'"
6 3 "'F'"
8 3 "'F'"
3 4 "'F'"
8 3 "'F'"
8 4 "'M'"
6 2 "'M'"
10 4 "'F'"
2 4 "'F'"
9 3 "'M'"
6 3 "'M'"
6 4 "'F'"
5 2 "'F'"
4 4 "'F'"
7 2 "'F'"
5 3 "'M'"
8 4 "'M'"
6 3 "'F'"
9 4 "'M'"
6 3 "'F'"
4 2 "'M'"
7 4 "'F'"
2 1 "'M'"
8 3 "'M'"
9 4 "'M'"
6 3 "'F'"
5 4 "'M'"
7 3 "'M'"
8 4 "'M'"
4 3 "'F'"
9 3 "'M'"
9 3 "'F'"
9 5 "'M'"
7 3 "'F'"
5 3 "'M'"
7 4 "'F'"
9 4 "'M'"
8 2 "'M'"
6 3 "'M'"
9 5 "'M'"
8 3 "'M'"
7 3 "'M'"
7 3 "'F'"
7 3 "'F'"
8 3 "'F'"
10 5 "'M'"
6 4 "'F'"
6 4 "'F'"




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time5 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 time5 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310650&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]5 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=310650&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310650&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 time5 seconds
R ServerBig Analytics Cloud Computing Center







ANOVA Model
Response ~ Treatment_A * Treatment_B
means8-1.625-1.161-0.951-0.8-65.4036.4347.0377.569

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Response ~ Treatment_A * Treatment_B \tabularnewline
means & 8 & -1.625 & -1.161 & -0.951 & -0.8 & -6 & 5.403 & 6.434 & 7.037 & 7.569 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310650&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Response ~ Treatment_A * Treatment_B[/C][/ROW]
[ROW][C]means[/C][C]8[/C][C]-1.625[/C][C]-1.161[/C][C]-0.951[/C][C]-0.8[/C][C]-6[/C][C]5.403[/C][C]6.434[/C][C]7.037[/C][C]7.569[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310650&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310650&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
means8-1.625-1.161-0.951-0.8-65.4036.4347.0377.569







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
4
Treatment_A455.39513.8494.1070.003
Treatment_B414.55814.5584.3170.039
Treatment_A:Treatment_B446.15811.543.4220.01
Residuals169569.9233.372

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
 & 4 &  &  &  &  \tabularnewline
Treatment_A & 4 & 55.395 & 13.849 & 4.107 & 0.003 \tabularnewline
Treatment_B & 4 & 14.558 & 14.558 & 4.317 & 0.039 \tabularnewline
Treatment_A:Treatment_B & 4 & 46.158 & 11.54 & 3.422 & 0.01 \tabularnewline
Residuals & 169 & 569.923 & 3.372 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310650&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]55.395[/C][C]13.849[/C][C]4.107[/C][C]0.003[/C][/ROW]
[ROW][C]Treatment_B[/C][C]4[/C][C]14.558[/C][C]14.558[/C][C]4.317[/C][C]0.039[/C][/ROW]
[ROW][C]Treatment_A:Treatment_B[/C][C]4[/C][C]46.158[/C][C]11.54[/C][C]3.422[/C][C]0.01[/C][/ROW]
[ROW][C]Residuals[/C][C]169[/C][C]569.923[/C][C]3.372[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310650&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310650&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_A455.39513.8494.1070.003
Treatment_B414.55814.5584.3170.039
Treatment_A:Treatment_B446.15811.543.4220.01
Residuals169569.9233.372







Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-1-0.441-3.2552.3730.993
3-10.563-2.0473.1720.976
4-11.026-1.5713.6240.812
5-11.833-0.9664.6320.373
3-21.004-0.3782.3850.269
4-21.4670.1092.8260.027
5-22.2750.5623.9870.003
4-30.464-0.3951.3230.571
5-31.271-0.082.6220.076
5-40.807-0.522.1340.451
'M'-'F'0.5620.021.1040.042
2:'F'-1:'F'-1.625-5.6112.3610.951
3:'F'-1:'F'-1.161-4.7222.3990.989
4:'F'-1:'F'-0.951-4.4732.5710.997
5:'F'-1:'F'-0.8-5.13.51
1:'M'-1:'F'-6-12.7990.7990.135
2:'M'-1:'F'-2.222-6.1481.7030.725
3:'M'-1:'F'-0.727-4.2782.8241
4:'M'-1:'F'0.086-3.4573.6281
5:'M'-1:'F'0.769-3.0024.5411
3:'F'-2:'F'0.464-1.8712.7991
4:'F'-2:'F'0.674-1.6022.950.994
5:'F'-2:'F'0.825-2.5324.1820.999
1:'M'-2:'F'-4.375-10.6211.8710.43
2:'M'-2:'F'-0.597-3.4582.2641
3:'M'-2:'F'0.898-1.4233.2180.965
4:'M'-2:'F'1.711-0.5974.0180.346
5:'M'-2:'F'2.394-0.2525.040.113
4:'F'-3:'F'0.21-1.1911.6121
5:'F'-3:'F'0.361-2.4763.1991
1:'M'-3:'F'-4.839-10.8211.1440.229
2:'M'-3:'F'-1.061-3.291.1690.88
3:'M'-3:'F'0.434-1.0391.9070.995
4:'M'-3:'F'1.247-0.2052.6990.162
5:'M'-3:'F'1.931-0.0153.8760.054
5:'F'-4:'F'0.151-2.6382.9411
1:'M'-4:'F'-5.049-11.0080.9110.176
2:'M'-4:'F'-1.271-3.4390.8970.682
3:'M'-4:'F'0.224-1.1531.6011
4:'M'-4:'F'1.037-0.3182.3920.302
5:'M'-4:'F'1.72-0.1543.5950.102
1:'M'-5:'F'-5.2-11.651.250.233
2:'M'-5:'F'-1.422-4.7071.8620.929
3:'M'-5:'F'0.073-2.7532.8991
4:'M'-5:'F'0.886-1.9293.7010.991
5:'M'-5:'F'1.569-1.5294.6680.835
2:'M'-1:'M'3.778-2.4299.9850.634
3:'M'-1:'M'5.273-0.70411.250.135
4:'M'-1:'M'6.0860.11412.0580.042
5:'M'-1:'M'6.7690.65912.880.017
3:'M'-2:'M'1.495-0.7193.7090.485
4:'M'-2:'M'2.3080.1074.5090.032
5:'M'-2:'M'2.9910.4385.5450.009
4:'M'-3:'M'0.813-0.6162.2420.719
5:'M'-3:'M'1.497-0.4323.4250.282
5:'M'-4:'M'0.684-1.2292.5960.979

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & -0.441 & -3.255 & 2.373 & 0.993 \tabularnewline
3-1 & 0.563 & -2.047 & 3.172 & 0.976 \tabularnewline
4-1 & 1.026 & -1.571 & 3.624 & 0.812 \tabularnewline
5-1 & 1.833 & -0.966 & 4.632 & 0.373 \tabularnewline
3-2 & 1.004 & -0.378 & 2.385 & 0.269 \tabularnewline
4-2 & 1.467 & 0.109 & 2.826 & 0.027 \tabularnewline
5-2 & 2.275 & 0.562 & 3.987 & 0.003 \tabularnewline
4-3 & 0.464 & -0.395 & 1.323 & 0.571 \tabularnewline
5-3 & 1.271 & -0.08 & 2.622 & 0.076 \tabularnewline
5-4 & 0.807 & -0.52 & 2.134 & 0.451 \tabularnewline
'M'-'F' & 0.562 & 0.02 & 1.104 & 0.042 \tabularnewline
2:'F'-1:'F' & -1.625 & -5.611 & 2.361 & 0.951 \tabularnewline
3:'F'-1:'F' & -1.161 & -4.722 & 2.399 & 0.989 \tabularnewline
4:'F'-1:'F' & -0.951 & -4.473 & 2.571 & 0.997 \tabularnewline
5:'F'-1:'F' & -0.8 & -5.1 & 3.5 & 1 \tabularnewline
1:'M'-1:'F' & -6 & -12.799 & 0.799 & 0.135 \tabularnewline
2:'M'-1:'F' & -2.222 & -6.148 & 1.703 & 0.725 \tabularnewline
3:'M'-1:'F' & -0.727 & -4.278 & 2.824 & 1 \tabularnewline
4:'M'-1:'F' & 0.086 & -3.457 & 3.628 & 1 \tabularnewline
5:'M'-1:'F' & 0.769 & -3.002 & 4.541 & 1 \tabularnewline
3:'F'-2:'F' & 0.464 & -1.871 & 2.799 & 1 \tabularnewline
4:'F'-2:'F' & 0.674 & -1.602 & 2.95 & 0.994 \tabularnewline
5:'F'-2:'F' & 0.825 & -2.532 & 4.182 & 0.999 \tabularnewline
1:'M'-2:'F' & -4.375 & -10.621 & 1.871 & 0.43 \tabularnewline
2:'M'-2:'F' & -0.597 & -3.458 & 2.264 & 1 \tabularnewline
3:'M'-2:'F' & 0.898 & -1.423 & 3.218 & 0.965 \tabularnewline
4:'M'-2:'F' & 1.711 & -0.597 & 4.018 & 0.346 \tabularnewline
5:'M'-2:'F' & 2.394 & -0.252 & 5.04 & 0.113 \tabularnewline
4:'F'-3:'F' & 0.21 & -1.191 & 1.612 & 1 \tabularnewline
5:'F'-3:'F' & 0.361 & -2.476 & 3.199 & 1 \tabularnewline
1:'M'-3:'F' & -4.839 & -10.821 & 1.144 & 0.229 \tabularnewline
2:'M'-3:'F' & -1.061 & -3.29 & 1.169 & 0.88 \tabularnewline
3:'M'-3:'F' & 0.434 & -1.039 & 1.907 & 0.995 \tabularnewline
4:'M'-3:'F' & 1.247 & -0.205 & 2.699 & 0.162 \tabularnewline
5:'M'-3:'F' & 1.931 & -0.015 & 3.876 & 0.054 \tabularnewline
5:'F'-4:'F' & 0.151 & -2.638 & 2.941 & 1 \tabularnewline
1:'M'-4:'F' & -5.049 & -11.008 & 0.911 & 0.176 \tabularnewline
2:'M'-4:'F' & -1.271 & -3.439 & 0.897 & 0.682 \tabularnewline
3:'M'-4:'F' & 0.224 & -1.153 & 1.601 & 1 \tabularnewline
4:'M'-4:'F' & 1.037 & -0.318 & 2.392 & 0.302 \tabularnewline
5:'M'-4:'F' & 1.72 & -0.154 & 3.595 & 0.102 \tabularnewline
1:'M'-5:'F' & -5.2 & -11.65 & 1.25 & 0.233 \tabularnewline
2:'M'-5:'F' & -1.422 & -4.707 & 1.862 & 0.929 \tabularnewline
3:'M'-5:'F' & 0.073 & -2.753 & 2.899 & 1 \tabularnewline
4:'M'-5:'F' & 0.886 & -1.929 & 3.701 & 0.991 \tabularnewline
5:'M'-5:'F' & 1.569 & -1.529 & 4.668 & 0.835 \tabularnewline
2:'M'-1:'M' & 3.778 & -2.429 & 9.985 & 0.634 \tabularnewline
3:'M'-1:'M' & 5.273 & -0.704 & 11.25 & 0.135 \tabularnewline
4:'M'-1:'M' & 6.086 & 0.114 & 12.058 & 0.042 \tabularnewline
5:'M'-1:'M' & 6.769 & 0.659 & 12.88 & 0.017 \tabularnewline
3:'M'-2:'M' & 1.495 & -0.719 & 3.709 & 0.485 \tabularnewline
4:'M'-2:'M' & 2.308 & 0.107 & 4.509 & 0.032 \tabularnewline
5:'M'-2:'M' & 2.991 & 0.438 & 5.545 & 0.009 \tabularnewline
4:'M'-3:'M' & 0.813 & -0.616 & 2.242 & 0.719 \tabularnewline
5:'M'-3:'M' & 1.497 & -0.432 & 3.425 & 0.282 \tabularnewline
5:'M'-4:'M' & 0.684 & -1.229 & 2.596 & 0.979 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310650&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]-0.441[/C][C]-3.255[/C][C]2.373[/C][C]0.993[/C][/ROW]
[ROW][C]3-1[/C][C]0.563[/C][C]-2.047[/C][C]3.172[/C][C]0.976[/C][/ROW]
[ROW][C]4-1[/C][C]1.026[/C][C]-1.571[/C][C]3.624[/C][C]0.812[/C][/ROW]
[ROW][C]5-1[/C][C]1.833[/C][C]-0.966[/C][C]4.632[/C][C]0.373[/C][/ROW]
[ROW][C]3-2[/C][C]1.004[/C][C]-0.378[/C][C]2.385[/C][C]0.269[/C][/ROW]
[ROW][C]4-2[/C][C]1.467[/C][C]0.109[/C][C]2.826[/C][C]0.027[/C][/ROW]
[ROW][C]5-2[/C][C]2.275[/C][C]0.562[/C][C]3.987[/C][C]0.003[/C][/ROW]
[ROW][C]4-3[/C][C]0.464[/C][C]-0.395[/C][C]1.323[/C][C]0.571[/C][/ROW]
[ROW][C]5-3[/C][C]1.271[/C][C]-0.08[/C][C]2.622[/C][C]0.076[/C][/ROW]
[ROW][C]5-4[/C][C]0.807[/C][C]-0.52[/C][C]2.134[/C][C]0.451[/C][/ROW]
[ROW][C]'M'-'F'[/C][C]0.562[/C][C]0.02[/C][C]1.104[/C][C]0.042[/C][/ROW]
[ROW][C]2:'F'-1:'F'[/C][C]-1.625[/C][C]-5.611[/C][C]2.361[/C][C]0.951[/C][/ROW]
[ROW][C]3:'F'-1:'F'[/C][C]-1.161[/C][C]-4.722[/C][C]2.399[/C][C]0.989[/C][/ROW]
[ROW][C]4:'F'-1:'F'[/C][C]-0.951[/C][C]-4.473[/C][C]2.571[/C][C]0.997[/C][/ROW]
[ROW][C]5:'F'-1:'F'[/C][C]-0.8[/C][C]-5.1[/C][C]3.5[/C][C]1[/C][/ROW]
[ROW][C]1:'M'-1:'F'[/C][C]-6[/C][C]-12.799[/C][C]0.799[/C][C]0.135[/C][/ROW]
[ROW][C]2:'M'-1:'F'[/C][C]-2.222[/C][C]-6.148[/C][C]1.703[/C][C]0.725[/C][/ROW]
[ROW][C]3:'M'-1:'F'[/C][C]-0.727[/C][C]-4.278[/C][C]2.824[/C][C]1[/C][/ROW]
[ROW][C]4:'M'-1:'F'[/C][C]0.086[/C][C]-3.457[/C][C]3.628[/C][C]1[/C][/ROW]
[ROW][C]5:'M'-1:'F'[/C][C]0.769[/C][C]-3.002[/C][C]4.541[/C][C]1[/C][/ROW]
[ROW][C]3:'F'-2:'F'[/C][C]0.464[/C][C]-1.871[/C][C]2.799[/C][C]1[/C][/ROW]
[ROW][C]4:'F'-2:'F'[/C][C]0.674[/C][C]-1.602[/C][C]2.95[/C][C]0.994[/C][/ROW]
[ROW][C]5:'F'-2:'F'[/C][C]0.825[/C][C]-2.532[/C][C]4.182[/C][C]0.999[/C][/ROW]
[ROW][C]1:'M'-2:'F'[/C][C]-4.375[/C][C]-10.621[/C][C]1.871[/C][C]0.43[/C][/ROW]
[ROW][C]2:'M'-2:'F'[/C][C]-0.597[/C][C]-3.458[/C][C]2.264[/C][C]1[/C][/ROW]
[ROW][C]3:'M'-2:'F'[/C][C]0.898[/C][C]-1.423[/C][C]3.218[/C][C]0.965[/C][/ROW]
[ROW][C]4:'M'-2:'F'[/C][C]1.711[/C][C]-0.597[/C][C]4.018[/C][C]0.346[/C][/ROW]
[ROW][C]5:'M'-2:'F'[/C][C]2.394[/C][C]-0.252[/C][C]5.04[/C][C]0.113[/C][/ROW]
[ROW][C]4:'F'-3:'F'[/C][C]0.21[/C][C]-1.191[/C][C]1.612[/C][C]1[/C][/ROW]
[ROW][C]5:'F'-3:'F'[/C][C]0.361[/C][C]-2.476[/C][C]3.199[/C][C]1[/C][/ROW]
[ROW][C]1:'M'-3:'F'[/C][C]-4.839[/C][C]-10.821[/C][C]1.144[/C][C]0.229[/C][/ROW]
[ROW][C]2:'M'-3:'F'[/C][C]-1.061[/C][C]-3.29[/C][C]1.169[/C][C]0.88[/C][/ROW]
[ROW][C]3:'M'-3:'F'[/C][C]0.434[/C][C]-1.039[/C][C]1.907[/C][C]0.995[/C][/ROW]
[ROW][C]4:'M'-3:'F'[/C][C]1.247[/C][C]-0.205[/C][C]2.699[/C][C]0.162[/C][/ROW]
[ROW][C]5:'M'-3:'F'[/C][C]1.931[/C][C]-0.015[/C][C]3.876[/C][C]0.054[/C][/ROW]
[ROW][C]5:'F'-4:'F'[/C][C]0.151[/C][C]-2.638[/C][C]2.941[/C][C]1[/C][/ROW]
[ROW][C]1:'M'-4:'F'[/C][C]-5.049[/C][C]-11.008[/C][C]0.911[/C][C]0.176[/C][/ROW]
[ROW][C]2:'M'-4:'F'[/C][C]-1.271[/C][C]-3.439[/C][C]0.897[/C][C]0.682[/C][/ROW]
[ROW][C]3:'M'-4:'F'[/C][C]0.224[/C][C]-1.153[/C][C]1.601[/C][C]1[/C][/ROW]
[ROW][C]4:'M'-4:'F'[/C][C]1.037[/C][C]-0.318[/C][C]2.392[/C][C]0.302[/C][/ROW]
[ROW][C]5:'M'-4:'F'[/C][C]1.72[/C][C]-0.154[/C][C]3.595[/C][C]0.102[/C][/ROW]
[ROW][C]1:'M'-5:'F'[/C][C]-5.2[/C][C]-11.65[/C][C]1.25[/C][C]0.233[/C][/ROW]
[ROW][C]2:'M'-5:'F'[/C][C]-1.422[/C][C]-4.707[/C][C]1.862[/C][C]0.929[/C][/ROW]
[ROW][C]3:'M'-5:'F'[/C][C]0.073[/C][C]-2.753[/C][C]2.899[/C][C]1[/C][/ROW]
[ROW][C]4:'M'-5:'F'[/C][C]0.886[/C][C]-1.929[/C][C]3.701[/C][C]0.991[/C][/ROW]
[ROW][C]5:'M'-5:'F'[/C][C]1.569[/C][C]-1.529[/C][C]4.668[/C][C]0.835[/C][/ROW]
[ROW][C]2:'M'-1:'M'[/C][C]3.778[/C][C]-2.429[/C][C]9.985[/C][C]0.634[/C][/ROW]
[ROW][C]3:'M'-1:'M'[/C][C]5.273[/C][C]-0.704[/C][C]11.25[/C][C]0.135[/C][/ROW]
[ROW][C]4:'M'-1:'M'[/C][C]6.086[/C][C]0.114[/C][C]12.058[/C][C]0.042[/C][/ROW]
[ROW][C]5:'M'-1:'M'[/C][C]6.769[/C][C]0.659[/C][C]12.88[/C][C]0.017[/C][/ROW]
[ROW][C]3:'M'-2:'M'[/C][C]1.495[/C][C]-0.719[/C][C]3.709[/C][C]0.485[/C][/ROW]
[ROW][C]4:'M'-2:'M'[/C][C]2.308[/C][C]0.107[/C][C]4.509[/C][C]0.032[/C][/ROW]
[ROW][C]5:'M'-2:'M'[/C][C]2.991[/C][C]0.438[/C][C]5.545[/C][C]0.009[/C][/ROW]
[ROW][C]4:'M'-3:'M'[/C][C]0.813[/C][C]-0.616[/C][C]2.242[/C][C]0.719[/C][/ROW]
[ROW][C]5:'M'-3:'M'[/C][C]1.497[/C][C]-0.432[/C][C]3.425[/C][C]0.282[/C][/ROW]
[ROW][C]5:'M'-4:'M'[/C][C]0.684[/C][C]-1.229[/C][C]2.596[/C][C]0.979[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310650&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310650&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
2-1-0.441-3.2552.3730.993
3-10.563-2.0473.1720.976
4-11.026-1.5713.6240.812
5-11.833-0.9664.6320.373
3-21.004-0.3782.3850.269
4-21.4670.1092.8260.027
5-22.2750.5623.9870.003
4-30.464-0.3951.3230.571
5-31.271-0.082.6220.076
5-40.807-0.522.1340.451
'M'-'F'0.5620.021.1040.042
2:'F'-1:'F'-1.625-5.6112.3610.951
3:'F'-1:'F'-1.161-4.7222.3990.989
4:'F'-1:'F'-0.951-4.4732.5710.997
5:'F'-1:'F'-0.8-5.13.51
1:'M'-1:'F'-6-12.7990.7990.135
2:'M'-1:'F'-2.222-6.1481.7030.725
3:'M'-1:'F'-0.727-4.2782.8241
4:'M'-1:'F'0.086-3.4573.6281
5:'M'-1:'F'0.769-3.0024.5411
3:'F'-2:'F'0.464-1.8712.7991
4:'F'-2:'F'0.674-1.6022.950.994
5:'F'-2:'F'0.825-2.5324.1820.999
1:'M'-2:'F'-4.375-10.6211.8710.43
2:'M'-2:'F'-0.597-3.4582.2641
3:'M'-2:'F'0.898-1.4233.2180.965
4:'M'-2:'F'1.711-0.5974.0180.346
5:'M'-2:'F'2.394-0.2525.040.113
4:'F'-3:'F'0.21-1.1911.6121
5:'F'-3:'F'0.361-2.4763.1991
1:'M'-3:'F'-4.839-10.8211.1440.229
2:'M'-3:'F'-1.061-3.291.1690.88
3:'M'-3:'F'0.434-1.0391.9070.995
4:'M'-3:'F'1.247-0.2052.6990.162
5:'M'-3:'F'1.931-0.0153.8760.054
5:'F'-4:'F'0.151-2.6382.9411
1:'M'-4:'F'-5.049-11.0080.9110.176
2:'M'-4:'F'-1.271-3.4390.8970.682
3:'M'-4:'F'0.224-1.1531.6011
4:'M'-4:'F'1.037-0.3182.3920.302
5:'M'-4:'F'1.72-0.1543.5950.102
1:'M'-5:'F'-5.2-11.651.250.233
2:'M'-5:'F'-1.422-4.7071.8620.929
3:'M'-5:'F'0.073-2.7532.8991
4:'M'-5:'F'0.886-1.9293.7010.991
5:'M'-5:'F'1.569-1.5294.6680.835
2:'M'-1:'M'3.778-2.4299.9850.634
3:'M'-1:'M'5.273-0.70411.250.135
4:'M'-1:'M'6.0860.11412.0580.042
5:'M'-1:'M'6.7690.65912.880.017
3:'M'-2:'M'1.495-0.7193.7090.485
4:'M'-2:'M'2.3080.1074.5090.032
5:'M'-2:'M'2.9910.4385.5450.009
4:'M'-3:'M'0.813-0.6162.2420.719
5:'M'-3:'M'1.497-0.4323.4250.282
5:'M'-4:'M'0.684-1.2292.5960.979







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group91.8950.056
169

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 9 & 1.895 & 0.056 \tabularnewline
  & 169 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310650&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]1.895[/C][C]0.056[/C][/ROW]
[ROW][C] [/C][C]169[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310650&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310650&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)
Group91.8950.056
169



Parameters (Session):
par3 = TRUE ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = 3 ; par4 = TRUE ;
R code (references can be found in the software module):
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')