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Consider the melanoma data (melanoma.csv, melanoma.txt). This data is properly analyzed with what is called a proportional hazards model, but let's use the tools we

Consider the melanoma data (melanoma.csv, melanoma.txt). This data is properly analyzed with what is called a proportional hazards model, but let's use the tools we have: ignore the 'time' variable and assume that the 'status' variable simply reflects the status of the individual at a follow-up time, whenever that was. Let's say we are interested in the relationship between features of a malignant melanoma (its size, operationalized as its thickness, and whether an ulcer was present or not) and whether or not the patient was alive at the time of follow-up. 1. What type of regression model is most appropriate for this question, and why? 2. Do you need to do any data management in order to fit your model? If so, what do you choose to do, and why? 3. What predictor variables will you use in your model? Why did you choose these variables? 4. Estimate your model, present the results in a table, and interpret the results in words (a paragraph or so).

time

status

sex

age

year

thickness

ulcer

1

10

3

1

76

1972

6.76

1

2

30

3

1

56

1968

0.65

0

3

35

2

1

41

1977

1.34

0

4

99

3

0

71

1968

2.9

0

5

185

1

1

52

1965

12.08

1

6

204

1

1

28

1971

4.84

1

7

210

1

1

77

1972

5.16

1

8

232

3

0

60

1974

3.22

1

9

232

1

1

49

1968

12.88

1

10

279

1

0

68

1971

7.41

1

11

295

1

0

53

1969

4.19

1

12

355

3

0

64

1972

0.16

1

13

386

1

0

68

1965

3.87

1

14

426

1

1

63

1970

4.84

1

15

469

1

0

14

1969

2.42

1

16

493

3

1

72

1971

12.56

1

17

529

1

1

46

1971

5.8

1

18

621

1

1

72

1972

7.06

1

19

629

1

1

95

1968

5.48

1

20

659

1

1

54

1972

7.73

1

21

667

1

0

89

1968

13.85

1

22

718

1

1

25

1967

2.34

1

23

752

1

1

37

1973

4.19

1

24

779

1

1

43

1967

4.04

1

25

793

1

1

68

1970

4.84

1

26

817

1

0

67

1966

0.32

0

27

826

3

0

86

1965

8.54

1

28

833

1

0

56

1971

2.58

1

29

858

1

0

16

1967

3.56

0

30

869

1

0

42

1965

3.54

0

31

872

1

0

65

1968

0.97

0

32

967

1

1

52

1970

4.83

1

33

977

1

1

58

1967

1.62

1

34

982

1

0

60

1970

6.44

1

35

1041

1

1

68

1967

14.66

0

36

1055

1

0

75

1967

2.58

1

37

1062

1

1

19

1966

3.87

1

38

1075

1

1

66

1971

3.54

1

39

1156

1

0

56

1970

1.34

1

40

1228

1

1

46

1973

2.24

1

41

1252

1

0

58

1971

3.87

1

42

1271

1

0

74

1971

3.54

1

43

1312

1

0

65

1970

17.42

1

44

1427

3

1

64

1972

1.29

0

45

1435

1

1

27

1969

3.22

0

46

1499

2

1

73

1973

1.29

0

47

1506

1

1

56

1970

4.51

1

48

1508

2

1

63

1973

8.38

1

49

1510

2

0

69

1973

1.94

0

50

1512

2

0

77

1973

0.16

0

51

1516

1

1

80

1968

2.58

1

52

1525

3

0

76

1970

1.29

1

53

1542

2

0

65

1973

0.16

0

54

1548

1

0

61

1972

1.62

0

55

1557

2

0

26

1973

1.29

0

56

1560

1

0

57

1973

2.1

0

57

1563

2

0

45

1973

0.32

0

58

1584

1

1

31

1970

0.81

0

59

1605

2

0

36

1973

1.13

0

60

1621

1

0

46

1972

5.16

1

61

1627

2

0

43

1973

1.62

0

62

1634

2

0

68

1973

1.37

0

63

1641

2

1

57

1973

0.24

0

64

1641

2

0

57

1973

0.81

0

65

1648

2

0

55

1973

1.29

0

66

1652

2

0

58

1973

1.29

0

67

1654

2

1

20

1973

0.97

0

68

1654

2

0

67

1973

1.13

0

69

1667

1

0

44

1971

5.8

1

70

1678

2

0

59

1973

1.29

0

71

1685

2

0

32

1973

0.48

0

72

1690

1

1

83

1971

1.62

0

73

1710

2

0

55

1973

2.26

0

74

1710

2

1

15

1973

0.58

0

75

1726

1

0

58

1970

0.97

1

76

1745

2

0

47

1973

2.58

1

77

1762

2

0

54

1973

0.81

0

78

1779

2

1

55

1973

3.54

1

79

1787

2

1

38

1973

0.97

0

80

1787

2

0

41

1973

1.78

1

81

1793

2

0

56

1973

1.94

0

82

1804

2

0

48

1973

1.29

0

83

1812

2

1

44

1973

3.22

1

84

1836

2

0

70

1972

1.53

0

85

1839

2

0

40

1972

1.29

0

86

1839

2

1

53

1972

1.62

1

87

1854

2

0

65

1972

1.62

1

88

1856

2

1

54

1972

0.32

0

89

1860

3

1

71

1969

4.84

1

90

1864

2

0

49

1972

1.29

0

91

1899

2

0

55

1972

0.97

0

92

1914

2

0

69

1972

3.06

0

93

1919

2

1

83

1972

3.54

0

94

1920

2

1

60

1972

1.62

1

95

1927

2

1

40

1972

2.58

1

96

1933

1

0

77

1972

1.94

0

97

1942

2

0

35

1972

0.81

0

98

1955

2

0

46

1972

7.73

1

99

1956

2

0

34

1972

0.97

0

100

1958

2

0

69

1972

12.88

0

101

1963

2

0

60

1972

2.58

0

102

1970

2

1

84

1972

4.09

1

103

2005

2

0

66

1972

0.64

0

104

2007

2

1

56

1972

0.97

0

105

2011

2

0

75

1972

3.22

1

106

2024

2

0

36

1972

1.62

0

107

2028

2

1

52

1972

3.87

1

108

2038

2

0

58

1972

0.32

1

109

2056

2

0

39

1972

0.32

0

110

2059

2

1

68

1972

3.22

1

111

2061

1

1

71

1968

2.26

0

112

2062

1

0

52

1965

3.06

0

113

2075

2

1

55

1972

2.58

1

114

2085

3

0

66

1970

0.65

0

115

2102

2

1

35

1972

1.13

0

116

2103

1

1

44

1966

0.81

0

117

2104

2

0

72

1972

0.97

0

118

2108

1

0

58

1969

1.76

1

119

2112

2

0

54

1972

1.94

1

120

2150

2

0

33

1972

0.65

0

121

2156

2

0

45

1972

0.97

0

122

2165

2

1

62

1972

5.64

0

123

2209

2

0

72

1971

9.66

0

124

2227

2

0

51

1971

0.1

0

125

2227

2

1

77

1971

5.48

1

126

2256

1

0

43

1971

2.26

1

127

2264

2

0

65

1971

4.83

1

128

2339

2

0

63

1971

0.97

0

129

2361

2

1

60

1971

0.97

0

130

2387

2

0

50

1971

5.16

1

131

2388

1

1

40

1966

0.81

0

132

2403

2

0

67

1971

2.9

1

133

2426

2

0

69

1971

3.87

0

134

2426

2

0

74

1971

1.94

1

135

2431

2

0

49

1971

0.16

0

136

2460

2

0

47

1971

0.64

0

137

2467

1

0

42

1965

2.26

1

138

2492

2

0

54

1971

1.45

0

139

2493

2

1

72

1971

4.82

1

140

2521

2

0

45

1971

1.29

1

141

2542

2

1

67

1971

7.89

1

142

2559

2

0

48

1970

0.81

1

143

2565

1

1

34

1970

3.54

1

144

2570

2

0

44

1970

1.29

0

145

2660

2

0

31

1970

0.64

0

146

2666

2

0

42

1970

3.22

1

147

2676

2

0

24

1970

1.45

1

148

2738

2

0

58

1970

0.48

0

149

2782

1

1

78

1969

1.94

0

150

2787

2

1

62

1970

0.16

0

151

2984

2

1

70

1969

0.16

0

152

3032

2

0

35

1969

1.29

0

153

3040

2

0

61

1969

1.94

0

154

3042

1

0

54

1967

3.54

1

155

3067

2

0

29

1969

0.81

0

156

3079

2

1

64

1969

0.65

0

157

3101

2

1

47

1969

7.09

0

158

3144

2

1

62

1969

0.16

0

159

3152

2

0

32

1969

1.62

0

160

3154

3

1

49

1969

1.62

0

161

3180

2

0

25

1969

1.29

0

162

3182

3

1

49

1966

6.12

0

163

3185

2

0

64

1969

0.48

0

164

3199

2

0

36

1969

0.64

0

165

3228

2

0

58

1969

3.22

1

166

3229

2

0

37

1969

1.94

0

167

3278

2

1

54

1969

2.58

0

168

3297

2

0

61

1968

2.58

1

169

3328

2

1

31

1968

0.81

0

170

3330

2

1

61

1968

0.81

1

171

3338

1

0

60

1967

3.22

1

172

3383

2

0

43

1968

0.32

0

173

3384

2

0

68

1968

3.22

1

174

3385

2

0

4

1968

2.74

0

175

3388

2

1

60

1968

4.84

1

176

3402

2

1

50

1968

1.62

0

177

3441

2

0

20

1968

0.65

0

178

3458

3

0

54

1967

1.45

0

179

3459

2

0

29

1968

0.65

0

180

3459

2

1

56

1968

1.29

1

181

3476

2

0

60

1968

1.62

0

182

3523

2

0

46

1968

3.54

0

183

3667

2

0

42

1967

3.22

0

184

3695

2

0

34

1967

0.65

0

185

3695

2

0

56

1967

1.03

0

186

3776

2

1

12

1967

7.09

1

187

3776

2

0

21

1967

1.29

1

188

3830

2

1

46

1967

0.65

0

189

3856

2

0

49

1967

1.78

0

190

3872

2

0

35

1967

12.24

1

191

3909

2

1

42

1967

8.06

1

192

3968

2

0

47

1967

0.81

0

193

4001

2

0

69

1967

2.1

0

194

4103

2

0

52

1966

3.87

0

195

4119

2

1

52

1966

0.65

0

196

4124

2

0

30

1966

1.94

1

197

4207

2

1

22

1966

0.65

0

198

4310

2

1

55

1966

2.1

0

199

4390

2

0

26

1965

1.94

1

200

4479

2

0

19

1965

1.13

1

201

4492

2

1

29

1965

7.06

1

202

4668

2

0

40

1965

6.12

0

203

4688

2

0

42

1965

0.48

0

204

4926

2

0

50

1964

2.26

0

205

5565

2

0

41

1962

2.9

0

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