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*The author of this computation has been verified*
R Software Module: Ian.Holliday/rwasp_One Factor ANOVA.wasp (opens new window with default values)
Title produced by software: Chi Square Measure of Association- Free Statistics Software (Calculator)
Date of computation: Tue, 15 Dec 2009 05:15:31 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Dec/15/t1260879427bnnnrccygrc1l16.htm/, Retrieved Tue, 15 Dec 2009 13:17:10 +0100
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2009/Dec/15/t1260879427bnnnrccygrc1l16.htm/},
    year = {2009},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2009},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
2 88 2 94 3 90 1 73 1 68 2 80 2 86 1 86 3 91 1 79 3 96 2 92 1 72 2 96 2 70 2 86 1 87 3 88 2 79 1 90 1 95 1 85 2 90 3 115 2 84 1 79 2 94 2 97 2 86 3 111 2 87 2 98 2 87 1 68 2 88 2 82 3 111 1 75 2 94 1 95 2 80 2 95 2 68 2 94 2 88 1 84 2 101 2 98 1 78 3 109 1 102 1 81 1 97 2 75 2 97 2 1 101 1 101 2 95 2 95 2 95 2 90 3 107 2 92 1 86 1 70 2 95 2 96 2 91 3 87 2 92 2 97 3 102 1 91 2 68 1 88 2 97 2 90 2 101 2 94 3 101 3 109 2 100 2 103 2 94 2 97 2 85 2 75 1 77 1 87 1 78 3 108 1 97 2 106 2 107 1 95 2 107 2 115 2 101 1 85 2 90 3 115 2 95 1 97 1 112 1 97 1 77 2 90 2 94 3 103 2 77 2 98 2 90 3 111 1 77 3 88 1 75 2 92 2 78 2 106 1 80 2 87 1 92 2 86 2 85 1 90 3 101 2 94 1 86 1 86 1 90 1 75 2 86 3 91 2 97 2 91 1 70 2 98 1 96 1 95 2 100 2 95 2 97 2 97 3 92 3 115 3 88 2 87 2 100 2 98 1 102 1 96
 
Output produced by software:

Enter (or paste) a matrix (table) containing all data (time) series. Every column represents a different variable and must be delimited by a space or Tab. Every row represents a period in time (or category) and must be delimited by hard returns. The easiest way to enter data is to copy and paste a block of spreadsheet cells. Please, do not use commas or spaces to seperate groups of digits!


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


ANOVA Model
RespVar ~ AgeGroup
means90.833-88.833-89.833-87.833-87.833-87.8332.3971.3-89.5-88.833-89.833-89.833-89.333-89.833-89.5-88.833-89.833-88.833-89.333-89.833-89.083-89.167-88.583-88.833-87.833-88.833-88.833-89.5-88.333-89.167-88.833


ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
AgeGroup30287601.749586.72564.8350
Residuals12117891.464147.863


Tukey Honest Significant Difference Comparisons
difflwruprp adj
101-1-88.833-136.528-41.1390
102-1-89.833-137.528-42.1390
109-1-87.833-135.528-40.1390
111-1-87.833-122.098-53.5680
115-1-87.833-135.528-40.1390
2-12.397-8.3613.1551
3-11.3-13.53716.1371
68-1-89.5-117.911-61.0890
70-1-88.833-136.528-41.1390
72-1-89.833-137.528-42.1390
73-1-89.833-137.528-42.1390
75-1-89.333-123.598-55.0680
78-1-89.833-137.528-42.1390
79-1-89.5-117.911-61.0890
80-1-88.833-123.098-54.5680
81-1-89.833-137.528-42.1390
82-1-88.833-136.528-41.1390
84-1-89.333-123.598-55.0680
85-1-89.833-137.528-42.1390
86-1-89.083-114.058-64.1090
87-1-89.167-117.578-60.7560
88-1-88.583-113.558-63.6090
90-1-88.833-117.244-60.4220
91-1-87.833-135.528-40.1390
92-1-88.833-136.528-41.1390
94-1-88.833-113.808-63.8590
95-1-89.5-117.911-61.0890
96-1-88.333-122.598-54.0680
97-1-89.167-117.578-60.7560
98-1-88.833-123.098-54.5680
102-101-1-67.35465.3541
109-1011-65.35467.3541
111-1011-56.46458.4641
115-1011-65.35467.3541
2-10191.23143.863138.5990
3-10190.13341.676138.5910
68-101-0.667-54.84453.5111
70-1010-66.35466.3541
72-101-1-67.35465.3541
73-101-1-67.35465.3541
75-101-0.5-57.96456.9641
78-101-1-67.35465.3541
79-101-0.667-54.84453.5111
80-1010-57.46457.4641
81-101-1-67.35465.3541
82-1010-66.35466.3541
84-101-0.5-57.96456.9641
85-101-1-67.35465.3541
86-101-0.25-52.70752.2071
87-101-0.333-54.51153.8441
88-1010.25-52.20752.7071
90-1010-54.17754.1771
91-1011-65.35467.3541
92-1010-66.35466.3541
94-1010-52.45752.4571
95-101-0.667-54.84453.5111
96-1010.5-56.96457.9641
97-101-0.333-54.51153.8441
98-1010-57.46457.4641
109-1022-64.35468.3541
111-1022-55.46459.4641
115-1022-64.35468.3541
2-10292.23144.863139.5990
3-10291.13342.676139.5910
68-1020.333-53.84454.5111
70-1021-65.35467.3541
72-1020-66.35466.3541
73-1020-66.35466.3541
75-1020.5-56.96457.9641
78-1020-66.35466.3541
79-1020.333-53.84454.5111
80-1021-56.46458.4641
81-1020-66.35466.3541
82-1021-65.35467.3541
84-1020.5-56.96457.9641
85-1020-66.35466.3541
86-1020.75-51.70753.2071
87-1020.667-53.51154.8441
88-1021.25-51.20753.7071
90-1021-53.17755.1771
91-1022-64.35468.3541
92-1021-65.35467.3541
94-1021-51.45753.4571
95-1020.333-53.84454.5111
96-1021.5-55.96458.9641
97-1020.667-53.51154.8441
98-1021-56.46458.4641
111-1090-57.46457.4641
115-1090-66.35466.3541
2-10990.23142.863137.5990
3-10989.13340.676137.5910
68-109-1.667-55.84452.5111
70-109-1-67.35465.3541
72-109-2-68.35464.3541
73-109-2-68.35464.3541
75-109-1.5-58.96455.9641
78-109-2-68.35464.3541
79-109-1.667-55.84452.5111
80-109-1-58.46456.4641
81-109-2-68.35464.3541
82-109-1-67.35465.3541
84-109-1.5-58.96455.9641
85-109-2-68.35464.3541
86-109-1.25-53.70751.2071
87-109-1.333-55.51152.8441
88-109-0.75-53.20751.7071
90-109-1-55.17753.1771
91-1090-66.35466.3541
92-109-1-67.35465.3541
94-109-1-53.45751.4571
95-109-1.667-55.84452.5111
96-109-0.5-57.96456.9641
97-109-1.333-55.51152.8441
98-109-1-58.46456.4641
115-1110-57.46457.4641
2-11190.23156.422124.040
3-11189.13353.814124.4530
68-111-1.667-44.49841.1641
70-111-1-58.46456.4641
72-111-2-59.46455.4641
73-111-2-59.46455.4641
75-111-1.5-48.41945.4191
78-111-2-59.46455.4641
79-111-1.667-44.49841.1641
80-111-1-47.91945.9191
81-111-2-59.46455.4641
82-111-1-58.46456.4641
84-111-1.5-48.41945.4191
85-111-2-59.46455.4641
86-111-1.25-41.88339.3831
87-111-1.333-44.16441.4981
88-111-0.75-41.38339.8831
90-111-1-43.83141.8311
91-1110-57.46457.4641
92-111-1-58.46456.4641
94-111-1-41.63339.6331
95-111-1.667-44.49841.1641
96-111-0.5-47.41946.4191
97-111-1.333-44.16441.4981
98-111-1-47.91945.9191
2-11590.23142.863137.5990
3-11589.13340.676137.5910
68-115-1.667-55.84452.5111
70-115-1-67.35465.3541
72-115-2-68.35464.3541
73-115-2-68.35464.3541
75-115-1.5-58.96455.9641
78-115-2-68.35464.3541
79-115-1.667-55.84452.5111
80-115-1-58.46456.4641
81-115-2-68.35464.3541
82-115-1-67.35465.3541
84-115-1.5-58.96455.9641
85-115-2-68.35464.3541
86-115-1.25-53.70751.2071
87-115-1.333-55.51152.8441
88-115-0.75-53.20751.7071
90-115-1-55.17753.1771
91-1150-66.35466.3541
92-115-1-67.35465.3541
94-115-1-53.45751.4571
95-115-1.667-55.84452.5111
96-115-0.5-57.96456.9641
97-115-1.333-55.51152.8441
98-115-1-58.46456.4641
3-2-1.097-14.84912.6541
68-2-91.897-119.757-64.0380
70-2-91.231-138.599-43.8630
72-2-92.231-139.599-44.8630
73-2-92.231-139.599-44.8630
75-2-91.731-125.54-57.9220
78-2-92.231-139.599-44.8630
79-2-91.897-119.757-64.0380
80-2-91.231-125.04-57.4220
81-2-92.231-139.599-44.8630
82-2-91.231-138.599-43.8630
84-2-91.731-125.54-57.9220
85-2-92.231-139.599-44.8630
86-2-91.481-115.826-67.1360
87-2-91.564-119.423-63.7050
88-2-90.981-115.326-66.6360
90-2-91.231-119.09-63.3720
91-2-90.231-137.599-42.8630
92-2-91.231-138.599-43.8630
94-2-91.231-115.576-66.8860
95-2-91.897-119.757-64.0380
96-2-90.731-124.54-56.9220
97-2-91.564-119.423-63.7050
98-2-91.231-125.04-57.4220
68-3-90.8-120.474-61.1260
70-3-90.133-138.591-41.6760
72-3-91.133-139.591-42.6760
73-3-91.133-139.591-42.6760
75-3-90.633-125.953-55.3140
78-3-91.133-139.591-42.6760
79-3-90.8-120.474-61.1260
80-3-90.133-125.453-54.8140
81-3-91.133-139.591-42.6760
82-3-90.133-138.591-41.6760
84-3-90.633-125.953-55.3140
85-3-91.133-139.591-42.6760
86-3-90.383-116.786-63.980
87-3-90.467-120.141-60.7920
88-3-89.883-116.286-63.480
90-3-90.133-119.808-60.4590
91-3-89.133-137.591-40.6760
92-3-90.133-138.591-41.6760
94-3-90.133-116.536-63.730
95-3-90.8-120.474-61.1260
96-3-89.633-124.953-54.3140
97-3-90.467-120.141-60.7920
98-3-90.133-125.453-54.8140
70-680.667-53.51154.8441
72-68-0.333-54.51153.8441
73-68-0.333-54.51153.8441
75-680.167-42.66442.9981
78-68-0.333-54.51153.8441
79-680-38.30938.3091
80-680.667-42.16443.4981
81-68-0.333-54.51153.8441
82-680.667-53.51154.8441
84-680.167-42.66442.9981
85-68-0.333-54.51153.8441
86-680.417-35.41836.2521
87-680.333-37.97638.6431
88-680.917-34.91836.7521
90-680.667-37.64338.9761
91-681.667-52.51155.8441
92-680.667-53.51154.8441
94-680.667-35.16836.5021
95-680-38.30938.3091
96-681.167-41.66443.9981
97-680.333-37.97638.6431
98-680.667-42.16443.4981
72-70-1-67.35465.3541
73-70-1-67.35465.3541
75-70-0.5-57.96456.9641
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79-70-0.667-54.84453.5111
80-700-57.46457.4641
81-70-1-67.35465.3541
82-700-66.35466.3541
84-70-0.5-57.96456.9641
85-70-1-67.35465.3541
86-70-0.25-52.70752.2071
87-70-0.333-54.51153.8441
88-700.25-52.20752.7071
90-700-54.17754.1771
91-701-65.35467.3541
92-700-66.35466.3541
94-700-52.45752.4571
95-70-0.667-54.84453.5111
96-700.5-56.96457.9641
97-70-0.333-54.51153.8441
98-700-57.46457.4641
73-720-66.35466.3541
75-720.5-56.96457.9641
78-720-66.35466.3541
79-720.333-53.84454.5111
80-721-56.46458.4641
81-720-66.35466.3541
82-721-65.35467.3541
84-720.5-56.96457.9641
85-720-66.35466.3541
86-720.75-51.70753.2071
87-720.667-53.51154.8441
88-721.25-51.20753.7071
90-721-53.17755.1771
91-722-64.35468.3541
92-721-65.35467.3541
94-721-51.45753.4571
95-720.333-53.84454.5111
96-721.5-55.96458.9641
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75-730.5-56.96457.9641
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80-731-56.46458.4641
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82-731-65.35467.3541
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86-730.75-51.70753.2071
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90-731-53.17755.1771
91-732-64.35468.3541
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94-731-51.45753.4571
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96-731.5-55.96458.9641
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98-731-56.46458.4641
78-75-0.5-57.96456.9641
79-75-0.167-42.99842.6641
80-750.5-46.41947.4191
81-75-0.5-57.96456.9641
82-750.5-56.96457.9641
84-750-46.91946.9191
85-75-0.5-57.96456.9641
86-750.25-40.38340.8831
87-750.167-42.66442.9981
88-750.75-39.88341.3831
90-750.5-42.33143.3311
91-751.5-55.96458.9641
92-750.5-56.96457.9641
94-750.5-40.13341.1331
95-75-0.167-42.99842.6641
96-751-45.91947.9191
97-750.167-42.66442.9981
98-750.5-46.41947.4191
79-780.333-53.84454.5111
80-781-56.46458.4641
81-780-66.35466.3541
82-781-65.35467.3541
84-780.5-56.96457.9641
85-780-66.35466.3541
86-780.75-51.70753.2071
87-780.667-53.51154.8441
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91-782-64.35468.3541
92-781-65.35467.3541
94-781-51.45753.4571
95-780.333-53.84454.5111
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97-780.667-53.51154.8441
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80-790.667-42.16443.4981
81-79-0.333-54.51153.8441
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84-790.167-42.66442.9981
85-79-0.333-54.51153.8441
86-790.417-35.41836.2521
87-790.333-37.97638.6431
88-790.917-34.91836.7521
90-790.667-37.64338.9761
91-791.667-52.51155.8441
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94-790.667-35.16836.5021
95-790-38.30938.3091
96-791.167-41.66443.9981
97-790.333-37.97638.6431
98-790.667-42.16443.4981
81-80-1-58.46456.4641
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84-82-0.5-57.96456.9641
85-82-1-67.35465.3541
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87-82-0.333-54.51153.8441
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88-840.75-39.88341.3831
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91-841.5-55.96458.9641
92-840.5-56.96457.9641
94-840.5-40.13341.1331
95-84-0.167-42.99842.6641
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98-840.5-46.41947.4191
86-850.75-51.70753.2071
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88-851.25-51.20753.7071
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91-852-64.35468.3541
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94-851-51.45753.4571
95-850.333-53.84454.5111
96-851.5-55.96458.9641
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98-851-56.46458.4641
87-86-0.083-35.91835.7521
88-860.5-32.67733.6771
90-860.25-35.58536.0851
91-861.25-51.20753.7071
92-860.25-52.20752.7071
94-860.25-32.92733.4271
95-86-0.417-36.25235.4181
96-860.75-39.88341.3831
97-86-0.083-35.91835.7521
98-860.25-40.38340.8831
88-870.583-35.25236.4181
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92-870.333-53.84454.5111
94-870.333-35.50236.1681
95-87-0.333-38.64337.9761
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90-88-0.25-36.08535.5851
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98-88-0.25-40.88340.3831
91-901-53.17755.1771
92-900-54.17754.1771
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95-90-0.667-38.97637.6431
96-900.5-42.33143.3311
97-90-0.333-38.64337.9761
98-900-42.83142.8311
92-91-1-67.35465.3541
94-91-1-53.45751.4571
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96-91-0.5-57.96456.9641
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98-91-1-58.46456.4641
94-920-52.45752.4571
95-92-0.667-54.84453.5111
96-920.5-56.96457.9641
97-92-0.333-54.51153.8441
98-920-57.46457.4641
95-94-0.667-36.50235.1681
96-940.5-40.13341.1331
97-94-0.333-36.16835.5021
98-940-40.63340.6331
96-951.167-41.66443.9981
97-950.333-37.97638.6431
98-950.667-42.16443.4981
97-96-0.833-43.66441.9981
98-96-0.5-47.41946.4191
98-970.333-42.49843.1641


Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group301.0040.471
121
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Dec/15/t1260879427bnnnrccygrc1l16/3rpoh1260879325.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/15/t1260879427bnnnrccygrc1l16/3rpoh1260879325.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/15/t1260879427bnnnrccygrc1l16/47dyh1260879325.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/15/t1260879427bnnnrccygrc1l16/47dyh1260879325.ps (open in new window)


 
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')
 





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Software written by Ed van Stee & Patrick Wessa


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