Distribuição Chi Quadrado

Modificado em 19/02/2002

Prof. Daniel Neyra

 

 


baseado em Rohlf, FJ & Sokal, RR. Statistical Tables, 2nd ed., USA, 1981.

eq-alfa.gif (167 bytes) 0.995 0.975 0.9 0.5 0.1 0.05 0.025 0.01 0.005 0.001
eq-ni.gif (134 bytes)    1 0.000 0.001 0.016 0.455 2.706 3.841 5.024 6.635 7.879 10.827
2 0.010 0.051 0.211 1.386 4.605 5.991 7.378 9.210 10.597 13.815
3 0.072 0.216 0.584 2.366 6.251 7.815 9.348 11.345 12.838 16.266
4 0.207 0.484 1.064 3.357 7.779 9.488 11.143 13.277 14.860 18.466
5 0.412 0.831 1.610 4.351 9.236 11.070 12.832 15.086 16.750 20.515
6 0.676 1.237 2.204 5.348 10.645 12.592 14.449 16.812 18.548 22.457
7 0.989 1.690 2.833 6.346 12.017 14.067 16.013 18.475 20.278 24.321
8 1.344 2.180 3.490 7.344 13.362 15.507 17.535 20.090 21.955 26.124
9 1.735 2.700 4.168 8.343 14.684 16.919 19.023 21.666 23.589 27.877
10 2.156 3.247 4.865 9.342 15.987 18.307 20.483 23.209 25.188 29.588
11 2.603 3.816 5.578 10.341 17.275 19.675 21.920 24.725 26.757 31.264
12 3.074 4.404 6.304 11.340 18.549 21.026 23.337 26.217 28.300 32.909
13 3.565 5.009 7.041 12.340 19.812 22.362 24.736 27.688 29.819 34.527
14 4.075 5.629 7.790 13.339 21.064 23.685 26.119 29.141 31.319 36.124
15 4.601 6.262 8.547 14.339 22.307 24.996 27.488 30.578 32.801 37.698
16 5.142 6.908 9.312 15.338 23.542 26.296 28.845 32.000 34.267 39.252
17 5.697 7.564 10.085 16.338 24.769 27.587 30.191 33.409 35.718 40.791
18 6.265 8.231 10.865 17.338 25.989 28.869 31.526 34.805 37.156 42.312
19 6.844 8.907 11.651 18.338 27.204 30.144 32.852 36.191 38.582 43.819
20 7.434 9.591 12.443 19.337 28.412 31.410 34.170 37.566 39.997 45.314
21 8.034 10.283 13.240 20.337 29.615 32.671 35.479 38.932 41.401 46.796
22 8.643 10.982 14.041 21.337 30.813 33.924 36.781 40.289 42.796 48.268
23 9.260 11.689 14.848 22.337 32.007 35.172 38.076 41.638 44.181 49.728
24 9.886 12.401 15.659 23.337 33.196 36.415 39.364 42.980 45.558 51.179
25 10.520 13.120 16.473 24.337 34.382 37.652 40.646 44.314 46.928 52.619
26 11.160 13.844 17.292 25.336 35.563 38.885 41.923 45.642 48.290 54.051
27 11.808 14.573 18.114 26.336 36.741 40.113 43.195 46.963 49.645 55.475
28 12.461 15.308 18.939 27.336 37.916 41.337 44.461 48.278 50.994 56.892
29 13.121 16.047 19.768 28.336 39.087 42.557 45.722 49.588 52.335 58.301
30 13.787 16.791 20.599 29.336 40.256 43.773 46.979 50.892 53.672 59.702
e-barrav.gif (120 bytes)

 


baseado em Rohlf, FJ & Sokal, RR. Statistical Tables, 2nd ed., USA, 1981.

eq-alfa.gif (167 bytes)

0.995

0.975

0.9

0.5

0.1

0.05

0.025

0.01

0.005

0.001

eq-ni.gif (134 bytes)   31

14.458

17.539

21.434

30.336

41.422

44.985

48.232

52.191

55.002

61.098

32

15.134

18.291

22.271

31.336

42.585

46.194

49.480

53.486

56.328

62.487

33

15.815

19.047

23.110

32.336

43.745

47.400

50.725

54.775

57.648

63.869

34

16.501

19.806

23.952

33.336

44.903

48.602

51.966

56.061

58.964

65.247

35

17.192

20.569

24.797

34.336

46.059

49.802

53.203

57.342

60.275

66.619

36

17.887

21.336

25.643

35.336

47.212

50.998

54.437

58.619

61.581

67.985

37

18.586

22.106

26.492

36.336

48.363

52.192

55.668

59.893

62.883

69.348

38

19.289

22.878

27.343

37.335

49.513

53.384

56.895

61.162

64.181

70.704

39

19.996

23.654

28.196

38.335

50.660

54.572

58.120

62.428

65.475

72.055

40

20.707

24.433

29.051

39.335

51.805

55.758

59.342

63.691

66.766

73.403

41

21.421

25.215

29.907

40.335

52.949

56.942

60.561

64.950

68.053

74.744

42

22.138

25.999

30.765

41.335

54.090

58.124

61.777

66.206

69.336

76.084

43

22.860

26.785

31.625

42.335

55.230

59.304

62.990

67.459

70.616

77.418

44

23.584

27.575

32.487

43.335

56.369

60.481

64.201

68.710

71.892

78.749

45

24.311

28.366

33.350

44.335

57.505

61.656

65.410

69.957

73.166

80.078

46

25.041

29.160

34.215

45.335

58.641

62.830

66.616

71.201

74.437

81.400

47

25.775

29.956

35.081

46.335

59.774

64.001

67.821

72.443

75.704

82.720

48

26.511

30.754

35.949

47.335

60.907

65.171

69.023

73.683

76.969

84.037

49

27.249

31.555

36.818

48.335

62.038

66.339

70.222

74.919

78.231

85.350

50

27.991

32.357

37.689

49.335

63.167

67.505

71.420

76.154

79.490

86.660

51

28.735

33.162

38.560

50.335

64.295

68.669

72.616

77.386

80.746

87.967

52

29.481

33.968

39.433

51.335

65.422

69.832

73.810

78.616

82.001

89.272

53

30.230

34.776

40.308

52.335

66.548

70.993

75.002

79.843

83.253

90.573

54

30.981

35.586

41.183

53.335

67.673

72.153

76.192

81.069

84.502

91.871

55

31.735

36.398

42.060

54.335

68.796

73.311

77.380

82.292

85.749

93.167

56

32.491

37.212

42.937

55.335

69.919

74.468

78.567

83.514

86.994

94.462

57

33.248

38.027

43.816

56.335

71.040

75.624

79.752

84.733

88.237

95.750

58

34.008

38.844

44.696

57.335

72.160

76.778

80.936

85.950

89.477

97.038

59

34.770

39.662

45.577

58.335

73.279

77.930

82.117

87.166

90.715

98.324

60

35.534

40.482

46.459

59.335

74.397

79.082

83.298

88.379

91.952

99.608

e-barrav.gif (120 bytes)

 


baseado em Rohlf, FJ & Sokal, RR. Statistical Tables, 2nd ed., USA, 1981.

eq-alfa.gif (167 bytes)

0.995

0.975

0.9

0.5

0.1

0.05

0.025

0.01

0.005

0.001

eq-ni.gif (134 bytes)   61

36.300

41.303

47.342

60.335

75.514

80.232

84.476

89.591

93.186

100.887

62

37.068

42.126

48.226

61.335

76.630

81.381

85.654

90.802

94.419

102.165

63

37.838

42.950

49.111

62.335

77.745

82.529

86.830

92.010

95.649

103.442

64

38.610

43.776

49.996

63.335

78.860

83.675

88.004

93.217

96.878

104.717

65

39.383

44.603

50.883

64.335

79.973

84.821

89.177

94.422

98.105

105.988

66

40.158

45.431

51.770

65.335

81.085

85.965

90.349

95.626

99.330

107.257

67

40.935

46.261

52.659

66.335

82.197

87.108

91.519

96.828

100.554

108.525

68

41.714

47.092

53.548

67.335

83.308

88.250

92.688

98.028

101.776

109.793

69

42.493

47.924

54.438

68.334

84.418

89.391

93.856

99.227

102.996

111.055

70

43.275

48.758

55.329

69.334

85.527

90.531

95.023

100.425

104.215

112.317

71

44.058

49.592

56.221

70.334

86.635

91.670

96.189

101.621

105.432

113.577

72

44.843

50.428

57.113

71.334

87.743

92.808

97.353

102.816

106.647

114.834

73

45.629

51.265

58.006

72.334

88.850

93.945

98.516

104.010

107.862

116.092

74

46.417

52.103

58.900

73.334

89.956

95.081

99.678

105.202

109.074

117.347

75

47.206

52.942

59.795

74.334

91.061

96.217

100.839

106.393

110.285

118.599

76

47.996

53.782

60.690

75.334

92.166

97.351

101.999

107.582

111.495

119.850

77

48.788

54.623

61.586

76.334

93.270

98.484

103.158

108.771

112.704

121.101

78

49.581

55.466

62.483

77.334

94.374

99.617

104.316

109.958

113.911

122.347

79

50.376

56.309

63.380

78.334

95.476

100.749

105.473

111.144

115.116

123.595

80

51.172

57.153

64.278

79.334

96.578

101.879

106.629

112.329

116.321

124.839

81

51.969

57.998

65.176

80.334

97.680

103.010

107.783

113.512

117.524

126.084

82

52.767

58.845

66.076

81.334

98.780

104.139

108.937

114.695

118.726

127.324

83

53.567

59.692

66.976

82.334

99.880

105.267

110.090

115.876

119.927

128.565

84

54.368

60.540

67.876

83.334

100.980

106.395

111.242

117.057

121.126

129.802

85

55.170

61.389

68.777

84.334

102.079

107.522

112.393

118.236

122.324

131.043

86

55.973

62.239

69.679

85.334

103.177

108.648

113.544

119.414

123.522

132.276

87

56.777

63.089

70.581

86.334

104.275

109.773

114.693

120.591

124.718

133.511

88

57.582

63.941

71.484

87.334

105.372

110.898

115.841

121.767

125.912

134.746

89

58.389

64.793

72.387

88.334

106.469

112.022

116.989

122.942

127.106

135.977

e-barrav.gif (120 bytes)

 


baseado em Rohlf, FJ & Sokal, RR. Statistical Tables, 2nd ed., USA, 1981.

eq-alfa.gif (167 bytes)

0.995

0.975

0.9

0.5

0.1

0.05

0.025

0.01

0.005

0.001

eq-ni.gif (134 bytes)   90

59.196

65.647

73.291

89.334

107.565

113.145

118.136

124.116

128.299

137.208

91

60.005

66.501

74.196

90.334

108.661

114.268

119.282

125.289

129.490

138.437

92

60.815

67.356

75.100

91.334

109.756

115.390

120.427

126.462

130.681

139.667

93

61.625

68.211

76.006

92.334

110.850

116.511

121.571

127.633

131.871

140.894

94

62.437

69.068

76.912

93.334

111.944

117.632

122.715

128.803

133.059

142.118

95

63.250

69.925

77.818

94.334

113.038

118.752

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129.973

134.247

143.343

96

64.063

70.783

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125.000

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144.566

97

64.878

71.642

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96.334

115.223

120.990

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132.309

136.619

145.789

98

65.693

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80.541

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116.315

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133.476

137.803

147.009

99

66.510

73.361

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148.230

100

67.328

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101

68.146

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102

68.965

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103

69.785

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104

70.606

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105

71.428

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106

72.251

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136.382

142.780

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156.740

107

73.074

80.267

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106.334

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148.424

157.950

108

73.899

81.133

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149.599

159.164

109

74.724

82.000

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134.369

139.784

146.257

150.774

160.371

110

75.550

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140.916

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151.948

161.582

111

76.377

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92.385

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148.571

153.121

162.787

112

77.204

84.604

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163.995

113

78.033

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112.334

132.643

138.811

144.311

150.882

155.467

165.202

114

78.862

86.342

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133.729

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152.037

156.637

166.406

115

79.691

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134.813

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153.190

157.808

167.609

116

80.522

88.084

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135.898

142.138

147.700

154.344

158.977

168.813

117

81.353

88.955

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136.982

143.246

148.829

155.497

160.146

170.014

118

82.185

89.827

98.790

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138.066

144.354

149.957

156.648

161.314

171.216

119

83.018

90.700

99.707

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139.149

145.461

151.084

157.799

162.481

172.417

120

83.852

91.573

100.624

119.334

140.233

146.567

152.211

158.950

163.648

173.618

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