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Use any statistical software to produce results QUESTION 1 The data is given in a attached file called HRSTA82_2020_Ass1_Q4_Data (Beer.sav ). The dataset was created

Use any statistical software to produce results

QUESTION 1

The data is given in a attached file called HRSTA82_2020_Ass1_Q4_Data (Beer.sav ). The dataset was created by Karl Wuensch. We would like to

find the indicators that influence customers when purchasing beer. Two hundred customers from two cities were asked to rate on a scale of 0 - 100 how important each considers each of seven qualities when deciding whether or not to buy the six pack:

  • low COST of the six pack
  • high SIZE of the bottle (volume)
  • high percentage of ALCOHOL in the beer
  • the REPUTATion of the brand
  • the COLOR of the beer
  • nice AROMA of the beer
  • and good TASTE of the beer
  • SES is socioeconomic status
  • Group determines the city
  • SES is socioeconomic status (higher values would equate with higher status) and group refers to either two cities A and B

(a) Do overall reliability testing of the instrument and comment.

(b) make a factor analysis of the data, label the factors and interpret it (give only the final output).

(c) Calculate the reliability of each factor and interpret it.

(d) Calculate the composite variable for each factor using the average and make a descriptive analysis of each composite variables using numerical techniques and graphical techniques.

(e) Interpret the descriptive statistics ensuring you comment on the centrality, dispersion and normality of the composite variable.

(f) Do comparative analysis by testing whether the mean of all the composite variables differ by : (i) Group and (ii) SES

(Ensure that you draw error bars, and for SES do posthoc analysis using Tukeys b if variances across group are equal or Games-Howell test if the homogeneity of variance assumption is violated. Note: If the assumption of homogeneity of variance is violated, then we use Welch robust test for equality of means)

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Code COST SIZE ALCOHOL REPUTAT COLOR AROMA TASTE SES 1 90.00 80.00 70.00 20.00 50.0 70.0 60.00 2 75.00 95.00 100.00 50.00 55.0 40.0 65.00 3 10.00 15.00 20.00 85.00 40.0 30.0 50.00 4 100.00 70.00 50.00 30.00 75.0 60.0 80.00 5 20.00 10.00 25.00 35.00 30.0 35.0 45.00 6 50.00 100.00 100.00 30.00 90.0 75.0 100.00 7 5.00 15.00 15.00 75.00 20.0 10.0 25.00 8 65.00 30.00 35.00 80.00 80.0 60.0 90.00 9 95.00 95.00 100.00 0.00 80.0 70.0 95.00 10 85.00 80.00 70.00 40.00 60.0 50.0 65.00 11 0.00 0.00 20.00 30.00 80.0 90.0 100.00 12 10.00 25.00 10.00 100.00 50.0 40.0 60.00 13 80.00 70.00 50.00 50.00 40.0 20.0 50.00 14 25.00 35.00 30.00 40.00 45.0 30.0 65.00 15 5.00 10.00 15.00 65.00 50.0 65.0 85.00 16 20.00 5.00 10.00 40.00 60.0 50.0 95.00 17 70.00 60.00 70.00 75.00 10.0 15.0 25.00 18 50.00 15.00 20.00 50.00 10.0 5.0 50.00 19 75.00 50.00 95.00 40.00 0.0 0.0 40.00 20 15.00 10.00 25.00 30.00 95.0 80.0 100.00 21 80.00 90.00 100.00 50.00 20.0 #NULL! 40.00 22 90.00 80.00 70.00 20.00 50.0 70.0 60.00 23 75.00 95.00 100.00 50.00 55.0 40.0 65.00 24 10.00 15.00 20.00 85.00 40.0 30.0 50.00 25 100.00 70.00 50.00 30.00 75.0 60.0 80.00 26 20.00 10.00 25.00 35.00 30.0 35.0 45.00 27 50.00 100.00 100.00 30.00 90.0 75.0 100.00 28 5.00 15.00 15.00 75.00 20.0 10.0 25.00 29 65.00 30.00 35.00 80.00 80.0 60.0 90.00 30 95.00 95.00 100.00 0.00 80.0 70.0 95.00 31 85.00 80.00 70.00 40.00 60.0 50.0 65.00 32 0.00 0.00 20.00 30.00 80.0 90.0 100.00 33 10.00 25.00 10.00 100.00 50.0 40.0 60.00 34 80.00 70.00 50.00 50.00 40.0 20.0 50.00 35 25.00 35.00 30.00 40.00 45.0 30.0 65.00 36 5.00 10.00 15.00 65.00 50.0 65.0 85.00 37 20.00 5.00 10.00 40.00 60.0 50.0 95.00 38 70.00 60.00 70.00 75.00 10.0 15.0 25.00 39 50.00 15.00 20.00 50.00 10.0 5.0 50.00 40 75.00 50.00 95.00 40.00 0.0 0.0 40.00 41 15.00 10.00 25.00 30.00 95.0 80.0 100.00 42 80.00 90.00 100.00 50.00 20.0 #NULL! 40.00 43 90.00 80.00 70.00 20.00 50.0 70.0 60.00 44 75.00 95.00 100.00 50.00 55.0 40.0 65.00 Group 2 1 4 3 4 3 2 6 2 2 8 5 1 3 7 7 0 2 0 8 0 2 1 4 3 4 3 2 6 2 2 8 5 1 3 7 7 0 2 0 8 0 2 1 1 1 2 2 1 1 1 2 1 1 2 2 1 2 2 2 1 1 1 2 1 1 1 2 2 1 1 1 2 1 1 2 2 1 2 2 2 1 1 1 2 1 1 1 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 10.00 100.00 20.00 50.00 5.00 65.00 95.00 85.00 0.00 10.00 80.00 25.00 5.00 20.00 70.00 50.00 75.00 15.00 80.00 90.00 75.00 10.00 100.00 20.00 50.00 5.00 65.00 95.00 85.00 0.00 10.00 80.00 25.00 5.00 20.00 70.00 50.00 75.00 15.00 80.00 90.00 75.00 10.00 100.00 20.00 15.00 70.00 10.00 100.00 15.00 30.00 95.00 80.00 0.00 25.00 70.00 35.00 10.00 5.00 60.00 15.00 50.00 10.00 90.00 80.00 95.00 15.00 70.00 10.00 100.00 15.00 30.00 95.00 80.00 0.00 25.00 70.00 35.00 10.00 5.00 60.00 15.00 50.00 10.00 90.00 80.00 95.00 15.00 70.00 10.00 20.00 50.00 25.00 100.00 15.00 35.00 100.00 70.00 20.00 10.00 50.00 30.00 15.00 10.00 70.00 20.00 95.00 25.00 100.00 70.00 100.00 20.00 50.00 25.00 100.00 15.00 35.00 100.00 70.00 20.00 10.00 50.00 30.00 15.00 10.00 70.00 20.00 95.00 25.00 100.00 70.00 100.00 20.00 50.00 25.00 85.00 30.00 35.00 30.00 75.00 80.00 0.00 40.00 30.00 100.00 50.00 40.00 65.00 40.00 75.00 50.00 40.00 30.00 50.00 20.00 50.00 85.00 30.00 35.00 30.00 75.00 80.00 0.00 40.00 30.00 100.00 50.00 40.00 65.00 40.00 75.00 50.00 40.00 30.00 50.00 20.00 50.00 85.00 30.00 35.00 40.0 75.0 30.0 90.0 20.0 80.0 80.0 60.0 80.0 50.0 40.0 45.0 50.0 60.0 10.0 10.0 0.0 95.0 20.0 50.0 55.0 40.0 75.0 30.0 90.0 20.0 80.0 80.0 60.0 80.0 50.0 40.0 45.0 50.0 60.0 10.0 10.0 0.0 95.0 20.0 50.0 55.0 40.0 75.0 30.0 30.0 60.0 35.0 75.0 10.0 60.0 70.0 50.0 90.0 40.0 20.0 30.0 65.0 50.0 15.0 5.0 0.0 80.0 #NULL! 70.0 40.0 30.0 60.0 35.0 75.0 10.0 60.0 70.0 50.0 90.0 40.0 20.0 30.0 65.0 50.0 15.0 5.0 0.0 80.0 #NULL! 70.0 40.0 30.0 60.0 35.0 50.00 80.00 45.00 100.00 25.00 90.00 95.00 65.00 100.00 60.00 50.00 65.00 85.00 95.00 25.00 50.00 40.00 100.00 40.00 60.00 65.00 50.00 80.00 45.00 100.00 25.00 90.00 95.00 65.00 100.00 60.00 50.00 65.00 85.00 95.00 25.00 50.00 40.00 100.00 40.00 60.00 65.00 50.00 80.00 45.00 4 3 4 3 2 6 2 2 8 5 1 3 7 7 0 2 0 8 0 2 1 4 3 4 3 2 6 2 2 8 5 1 3 7 7 0 2 0 8 0 2 1 4 3 4 2 2 1 1 1 2 1 1 2 2 1 2 2 2 1 1 1 2 1 1 1 2 2 1 1 1 2 1 1 2 2 1 2 2 2 1 1 1 2 1 1 1 2 2 1 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 50.00 5.00 65.00 95.00 85.00 0.00 10.00 80.00 25.00 5.00 20.00 70.00 50.00 75.00 15.00 80.00 90.00 75.00 10.00 100.00 20.00 50.00 5.00 65.00 95.00 85.00 0.00 10.00 80.00 25.00 5.00 20.00 70.00 50.00 75.00 15.00 80.00 90.00 75.00 10.00 100.00 20.00 50.00 5.00 65.00 100.00 15.00 30.00 95.00 80.00 0.00 25.00 70.00 35.00 10.00 5.00 60.00 15.00 50.00 10.00 90.00 80.00 95.00 15.00 70.00 10.00 100.00 15.00 30.00 95.00 80.00 0.00 25.00 70.00 35.00 10.00 5.00 60.00 15.00 50.00 10.00 90.00 80.00 95.00 15.00 70.00 10.00 100.00 15.00 30.00 100.00 15.00 35.00 100.00 70.00 20.00 10.00 50.00 30.00 15.00 10.00 70.00 20.00 95.00 25.00 100.00 70.00 100.00 20.00 50.00 25.00 100.00 15.00 35.00 100.00 70.00 20.00 10.00 50.00 30.00 15.00 10.00 70.00 20.00 95.00 25.00 100.00 70.00 100.00 20.00 50.00 25.00 100.00 15.00 35.00 30.00 75.00 80.00 0.00 40.00 30.00 100.00 50.00 40.00 65.00 40.00 75.00 50.00 40.00 30.00 50.00 20.00 50.00 85.00 30.00 35.00 30.00 75.00 80.00 0.00 40.00 30.00 100.00 50.00 40.00 65.00 40.00 75.00 50.00 40.00 30.00 50.00 20.00 50.00 85.00 30.00 35.00 30.00 75.00 80.00 90.0 20.0 80.0 80.0 60.0 80.0 50.0 40.0 45.0 50.0 60.0 10.0 10.0 0.0 95.0 20.0 50.0 55.0 40.0 75.0 30.0 90.0 20.0 80.0 80.0 60.0 80.0 50.0 40.0 45.0 50.0 60.0 10.0 10.0 0.0 95.0 20.0 50.0 55.0 40.0 75.0 30.0 90.0 20.0 80.0 75.0 10.0 60.0 70.0 50.0 90.0 40.0 20.0 30.0 65.0 50.0 15.0 5.0 0.0 80.0 #NULL! 70.0 40.0 30.0 60.0 35.0 75.0 10.0 60.0 70.0 50.0 90.0 40.0 20.0 30.0 65.0 50.0 15.0 5.0 0.0 80.0 #NULL! 70.0 40.0 30.0 60.0 35.0 75.0 10.0 60.0 100.00 25.00 90.00 95.00 65.00 100.00 60.00 50.00 65.00 85.00 95.00 25.00 50.00 40.00 100.00 40.00 60.00 65.00 50.00 80.00 45.00 100.00 25.00 90.00 95.00 65.00 100.00 60.00 50.00 65.00 85.00 95.00 25.00 50.00 40.00 100.00 40.00 60.00 65.00 50.00 80.00 45.00 100.00 25.00 90.00 3 2 6 2 2 8 5 1 3 7 7 0 2 0 8 0 2 1 4 3 4 3 2 6 2 2 8 5 1 3 7 7 0 2 0 8 0 2 1 4 3 4 3 2 6 1 1 2 1 1 2 2 1 2 2 2 1 1 1 2 1 1 1 2 2 1 1 1 2 1 1 2 2 1 2 2 2 1 1 1 2 1 1 1 2 2 1 1 1 2 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 95.00 85.00 0.00 10.00 80.00 25.00 5.00 20.00 70.00 50.00 75.00 15.00 80.00 90.00 75.00 10.00 100.00 20.00 50.00 5.00 65.00 95.00 85.00 0.00 10.00 80.00 25.00 5.00 20.00 70.00 50.00 75.00 15.00 80.00 90.00 75.00 10.00 100.00 20.00 50.00 5.00 65.00 95.00 85.00 0.00 95.00 80.00 0.00 25.00 70.00 35.00 10.00 5.00 60.00 15.00 50.00 10.00 90.00 80.00 95.00 15.00 70.00 10.00 100.00 15.00 30.00 95.00 80.00 0.00 25.00 70.00 35.00 10.00 5.00 60.00 15.00 50.00 10.00 90.00 80.00 95.00 15.00 70.00 10.00 100.00 15.00 30.00 95.00 80.00 0.00 100.00 70.00 20.00 10.00 50.00 30.00 15.00 10.00 70.00 20.00 95.00 25.00 100.00 70.00 100.00 20.00 50.00 25.00 100.00 15.00 35.00 100.00 70.00 20.00 10.00 50.00 30.00 15.00 10.00 70.00 20.00 95.00 25.00 100.00 70.00 100.00 20.00 50.00 25.00 100.00 15.00 35.00 100.00 70.00 20.00 0.00 40.00 30.00 100.00 50.00 40.00 65.00 40.00 75.00 50.00 40.00 30.00 50.00 20.00 50.00 85.00 30.00 35.00 30.00 75.00 80.00 0.00 40.00 30.00 100.00 50.00 40.00 65.00 40.00 75.00 50.00 40.00 30.00 50.00 20.00 50.00 85.00 30.00 35.00 30.00 75.00 80.00 0.00 40.00 30.00 80.0 60.0 80.0 50.0 40.0 45.0 50.0 60.0 10.0 10.0 0.0 95.0 20.0 50.0 55.0 40.0 75.0 30.0 90.0 20.0 80.0 80.0 60.0 80.0 50.0 40.0 45.0 50.0 60.0 10.0 10.0 0.0 95.0 20.0 50.0 55.0 40.0 75.0 30.0 90.0 20.0 80.0 80.0 60.0 80.0 70.0 50.0 90.0 40.0 20.0 30.0 65.0 50.0 15.0 5.0 0.0 80.0 #NULL! 70.0 40.0 30.0 60.0 35.0 75.0 10.0 60.0 70.0 50.0 90.0 40.0 20.0 30.0 65.0 50.0 15.0 5.0 0.0 80.0 #NULL! 70.0 40.0 30.0 60.0 35.0 75.0 10.0 60.0 70.0 50.0 90.0 95.00 65.00 100.00 60.00 50.00 65.00 85.00 95.00 25.00 50.00 40.00 100.00 40.00 60.00 65.00 50.00 80.00 45.00 100.00 25.00 90.00 95.00 65.00 100.00 60.00 50.00 65.00 85.00 95.00 25.00 50.00 40.00 100.00 40.00 60.00 65.00 50.00 80.00 45.00 100.00 25.00 90.00 95.00 65.00 100.00 2 2 8 5 1 3 7 7 0 2 0 8 0 2 1 4 3 4 3 2 6 2 2 8 5 1 3 7 7 0 2 0 8 0 2 1 4 3 4 3 2 6 2 2 8 1 1 2 2 1 2 2 2 1 1 1 2 1 1 1 2 2 1 1 1 2 1 1 2 2 1 2 2 2 1 1 1 2 1 1 1 2 2 1 1 1 2 1 1 2 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 10.00 80.00 25.00 5.00 20.00 70.00 50.00 75.00 15.00 80.00 90.00 75.00 10.00 100.00 20.00 50.00 5.00 65.00 95.00 85.00 0.00 10.00 80.00 25.00 5.00 20.00 70.00 50.00 75.00 15.00 80.00 90.00 75.00 10.00 100.00 20.00 50.00 5.00 65.00 95.00 85.00 0.00 10.00 80.00 25.00 25.00 70.00 35.00 10.00 5.00 60.00 15.00 50.00 10.00 90.00 80.00 95.00 15.00 70.00 10.00 100.00 15.00 30.00 95.00 80.00 0.00 25.00 70.00 35.00 10.00 5.00 60.00 15.00 50.00 10.00 90.00 80.00 95.00 15.00 70.00 10.00 100.00 15.00 30.00 95.00 80.00 0.00 25.00 70.00 35.00 10.00 50.00 30.00 15.00 10.00 70.00 20.00 95.00 25.00 100.00 70.00 100.00 20.00 50.00 25.00 100.00 15.00 35.00 100.00 70.00 20.00 10.00 50.00 30.00 15.00 10.00 70.00 20.00 95.00 25.00 100.00 70.00 100.00 20.00 50.00 25.00 100.00 15.00 35.00 100.00 70.00 20.00 10.00 50.00 30.00 100.00 50.00 40.00 65.00 40.00 75.00 50.00 40.00 30.00 50.00 20.00 50.00 85.00 30.00 35.00 30.00 75.00 80.00 0.00 40.00 30.00 100.00 50.00 40.00 65.00 40.00 75.00 50.00 40.00 30.00 50.00 20.00 50.00 85.00 30.00 35.00 30.00 75.00 80.00 0.00 40.00 30.00 100.00 50.00 40.00 50.0 40.0 45.0 50.0 60.0 10.0 10.0 0.0 95.0 20.0 50.0 55.0 40.0 75.0 30.0 90.0 20.0 80.0 80.0 60.0 80.0 50.0 40.0 45.0 50.0 60.0 10.0 10.0 0.0 95.0 20.0 50.0 55.0 40.0 75.0 30.0 90.0 20.0 80.0 80.0 60.0 80.0 50.0 40.0 45.0 40.0 20.0 30.0 65.0 50.0 15.0 5.0 0.0 80.0 #NULL! 70.0 40.0 30.0 60.0 35.0 75.0 10.0 60.0 70.0 50.0 90.0 40.0 20.0 30.0 65.0 50.0 15.0 5.0 0.0 80.0 #NULL! 70.0 40.0 30.0 60.0 35.0 75.0 10.0 60.0 70.0 50.0 90.0 40.0 20.0 30.0 60.00 50.00 65.00 85.00 95.00 25.00 50.00 40.00 100.00 40.00 60.00 65.00 50.00 80.00 45.00 100.00 25.00 90.00 95.00 65.00 100.00 60.00 50.00 65.00 85.00 95.00 25.00 50.00 40.00 100.00 40.00 60.00 65.00 50.00 80.00 45.00 100.00 25.00 90.00 95.00 65.00 100.00 60.00 50.00 65.00 5 1 3 7 7 0 2 0 8 0 2 1 4 3 4 3 2 6 2 2 8 5 1 3 7 7 0 2 0 8 0 2 1 4 3 4 3 2 6 2 2 8 5 1 3 2 1 2 2 2 1 1 1 2 1 1 1 2 2 1 1 1 2 1 1 2 2 1 2 2 2 1 1 1 2 1 1 1 2 2 1 1 1 2 1 1 2 2 1 2 225 226 227 228 229 230 231 5.00 20.00 70.00 50.00 75.00 15.00 80.00 10.00 5.00 60.00 15.00 50.00 10.00 90.00 15.00 10.00 70.00 20.00 95.00 25.00 100.00 65.00 40.00 75.00 50.00 40.00 30.00 50.00 50.0 60.0 10.0 10.0 0.0 95.0 20.0 65.0 50.0 15.0 5.0 0.0 80.0 #NULL! 85.00 95.00 25.00 50.00 40.00 100.00 40.00 7 7 0 2 0 8 0 2 2 1 1 1 2 1

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