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TUTORIAL 1 You are given a data set of 3 variables from 4 monitoring stations in Sabah. The variables in the data set are API, SOLARRADIATION and WINDSPEED. Instruction 1 By assuming that the distribution of API, SOLARRADIATION and WINDSPEED in 2018 are normal, compare the mean of API between i) Station 1 & Station 2 ii) Station 3 & Station 4 Choose the correct statistical test. Discuss the results. Instruction 2 By assuming that the distribution of API, SOLARRADIATION and WINDSPEED in 2018 are normal, compare the mean of API between the four stations. Perform multiple comparison tests if necessary. Choose the correct statistical test. Discuss the results. Instruction 3 You wish to compare the API between June and December for Station 1. Choose the correct statistical test. Discuss the results. Instruction 4 Repeat Instruction 3 for the other 2 variables. Choose the correct statistical test. Discuss the results. T-TEST GROUPS=Station(1 2) /MISSING=ANALYSIS /VARIABLES=WINDSPEEDms_mean SOLARRADIATIONWm2_mean API_mean /ES DISPLAY (TRUE) /CRITERIA=CI(.95). T-Test [DataSet1] /Users/racheltan/Downloads/Tutorial_Ujiant. sav Group Statistics Std. Deviation Std. Error Mean Station N Mean WINDSPEEDms_mean 1 71 1.2215 .30094 .03572 2 365 .26948 SOLARRADIATIONWm2 mean 1 71 64.75587 2 365 1.0698 179.6278 182.4225 49.7074 41.1466 .01411 7.68511 2.43827 1.13271 .84412 APl_mean 1 46.58312 9.47696 16.12692 70 2 365 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means Sig. (2- F t df Sig. .061 tailed) .000 Mean Difference .15166 95% Confidence interval of the Difference Lower Upper .08161 .22172 Std. Error Difference .03564 3.541 4.255 434 3.950 93.104 .000 .15166 .03840 .07541 .22792 18.060 .000 --431 434 .667 -2.79470 6.48065 -15.53206 9.94267 WINDSPEEDms_mean Equal variances assumed Equal variances not assumed SOLARRADIATIONWm2_ Equal variances mean assumed Equal variances not assumed APL_mean Equal variances assumed Equal variances not assumed - 347 84.637 .730 -2.79470 8.06263 -18.82636 13.23697 45.733 .000 4.299 433 .000 8.56087 1.99148 4.64670 12.47504 6.060 157.700 .000 8.56087 1.41265 5.77072 11.35103 Independent Samples Effect Sizes Standardizera Point 95% Confidence Interval Estimate Lower Upper WINDSPEEDms mean Cohen's d .27480 .552 .295 .808 Hedges' correction .27527 .551 .294 .807 Glass's delta .26948 .563 .305 .820 SOLARRADIATIONWm2 Cohen's d 49.96330 -.056 -.310 .198 mean Hedges' correction 50.04985 -056 -.310 .198 Glass's delta 46.58312 -.060 -.314 .194 API_mean Cohen's d 15.26254 .561 .302 .819 Hedges' correction 15.28904 .560 .302 .818 Glass's delta 16.12692 1531 .272 .789 a. The denominator used in estimating the effect sizes. Cohen's d uses the pooled standard deviation. Hedges' correction uses the pooled standard deviation, plus a correction factor. Glass's deita uses the sample standard deviation of the control group. T-TEST GROUPS=Station(34) /MISSING=ANALYSIS /VARIABLES=WINDSPEEDms_mean SOLARRADIATIONWm2_mean API_mean /ES DISPLAY(TRUE) /CRITERIA=CI(.95). T-Test Group Statistics Std. Deviation Std. Error Mean Station N Mean WINDSPEEDms_mean 3 365 .32797 1.3216 1.2158 4 365 .64870 .01717 03395 3.22707 3.72917 SOLARRADIATIONWm2_ mean 3 365 190.6357 61.65312 4 226 210.9128 56.06166 API_mean 3 362 41.1814 8.78109 .46152 4 363 41.2253 14.06543 .73824 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means Std. Error F df Sig. .507 Difference Sig. (2- tailed) .006 95% Confidence Interval of the Difference Lower Upper .03111 .18050 Mean Difference .10580 t 2.781 .441 728 .03805 2.781 538.672 .006 .10580 .03805 .03106 .18054 3.900 .049 -4.021 589 .000 -20.27708 5.04298 -30.18149 -10.37267 WINDSPEEDms_mean Equal variances assumed Equal variances not assumed SOLAR RADIATIONWm2_ Equal variances mean assumed Equal variances not assumed API_mean Equal variances assumed Equal variances not assumed -4.112 511.020 .000 -20.27708 4.93160 -29.96578 -10.58838 97.142 .000 -050 723 .960 -.04382 .87116 -1.75413 1.66650 -.050 607.244 .960 -.04382 .87064 -1.75364 1.66601 Independent Samples Effect Sizes Standardizera Point 95% Confidence Interval Estimate Lower Upper WINDSPEEDms_mean Cohen's d .51399 .206 .060 .351 Hedges' correction .51452 .206 .060 .351 Glass's delta .64870 .163 .017 .309 SOLAR RADIATIONWm2 Cohen's d 59.57914 -.340 -507 -.173 mean Hedges' correction 59.65513 -.340 --507 -.173 Glass's delta 56.06166 -362 -.531 -.192 API_mean Cohen's d 11.72840 -.004 .142 Hedges' correction 11.74059 -.004 -.149 .142 Glass's delta 14.06543 -.003 -.149 .142 a. The denominator used in estimating the effect sizes. Cohen's d uses the pooled standard deviation. Hedges' correction uses the pooled standard deviation, plus a correction factor. Glass's delta uses the sample standard deviation of the control group. -.149 ONEWAY WINDSPEEDms_mean SOLARRADIATIONWm2_mean API_mean BY Station /MISSING ANALYSIS /CRITERIA=CILEVEL (0.95) /POSTHOC=TUKEY ALPHA(0.05). Oneway ANOVA df F Sig. Mean Square 3.896 WINDSPEEDms_mean 20.112 .000 3 1162 .194 1165 SOLARRADIATIONWm2_ mean Sum of Squares 11.688 225.102 236.790 125518.945 3174165.55 3299684.49 4779.272 200317.849 205097.121 3 13.484 Between Groups Within Groups Total Between Groups Within Groups Total Between Groups Within Groups Total .000 41839.648 3102.801 1023 1026 API_mean 3 9.193 .000 1593.091 173.285 1156 1159 Post Hoc Tests Multiple Comparisons Tukey HSD Mean Difference ( J) (1) Station Dependent Variable WINDSPEEDms_mean 0) Station 2 Std. Error .05709 Sig. .040 95% Confidence Interval Lower Bound Upper Bound .0048 .2985 1 3 .297 4 .05709 .05709 .05709 1.000 -.2470 -.1412 -.2985 .0468 .1526 -.0048 2 1 .040 3 .03258 .000 -.3356 -.1679 4 .03258 .000 -.2298 -.0621 3 1 .05709 .297 -.0468 .2470 2 .03258 .000 .1679 .3356 4 .03258 .007 .0220 .1896 .15166 -10008 .00572 -.15166 -.25174 -.14594 .10008 .25174 .10580* -.00572 .14594 -.10580 -2.79470 -11.00790 -31.28498 2.79470 -8.21320 -28.49028 4 1 .05709 1.000 -.1526 .0621 .1412 .2298 2 .03258 .000 3 .03258 .007 -.1896 -.0220 1 SOLARRADIATIONWm2_ mean 2 7.22511 .980 -21.3868 15.7974 3 .424 7.22511 7.57830 -29.6000 -50.7859 7.5842 -11.7840 4 .000 2 1 7.22511 1980 21.3868 2.3971 3 4.12331 -15.7974 -18.8235 -40.6229 .192 4 4.71487 .000 -16.3577 3 1 11.00790 7.22511 .424 29.6000 2 4.12331 .192 -7.5842 -2.3971 -32.4097 18.8235 -8.1445 4 4.71487 .000 4 1 8.21320 -20.27708 31.28498 28.49028 20.27708* 7.57830 .000 11.7840 50.7859 2 4.71487 .000 16.3577 40.6229 3 4.71487 .000 8.1445 32.4097 API_mean 1 2 1.71763 .000 4.1418 12.9799 3 1.71878 .000 4.1040 12.9480 8.56087* 8.52598" 8.48216* -8.56087" 4 1.71839 .000 4.0611 12.9032 2 1 1.71763 .000 -12.9799 -4.1418 3 1.000 2.4773 -.03489 -.07871 -8.52598* .97644 .97577 4 1.000 .000 -2.5471 -2.5891 -12.9480 2.4317 -4.1040 3 1 1.71878 2 .97644 4 .03489 -.04382 -8.48216* .97778 1.71839 1.000 1.000 .000 -2.4773 -2.5594 -12.9032 2.5471 2.4718 -4.0611 4 1 2 .07871 1.000 .97577 .97778 -2.4317 -2.4718 2.5891 2.5594 3 .04382 1.000 *. The mean difference is significant at the 0.05 level. Homogeneous Subsets WINDSPEEDms_mean Tukey HSDab Subset for alpha = 0.05 1 2 Station N 2 365 1.0698 4 365 1.2158 1 71 1.2215 1.3216 3 365 Sig. 1.000 .104 Means for groups in homogeneous subsets are displayed. a. Uses Harmonic Mean Sample Size = 179.343. b. The group sizes are unequal. The harmonic mean of the group sizes is used. Type 1 error levels are not guaranteed. SOLARRADIATIONWm2_mean Tukey HSDab Subset for alpha = 0.05 1 2 Station N 1 71 179.6278 w N 2 365 182.4225 365 190.6357 4 226 210.9128 Sig. .272 1.000 Means for groups in homogeneous subsets are displayed. a. Uses Harmonic Mean Sample Size = 166.745. b. The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed. APl_mean Tukey HSDa,b Subset for alpha = 0.05 1 2 N Station 2 365 41.1466 3 362 41.1814 4 363 41.2253 1 70 49.7074 Sig. 1.000 1.000 Means for groups in homogeneous subsets are displayed. a. Uses Harmonic Mean Sample Size 177.441. b. The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed. TUTORIAL 1 You are given a data set of 3 variables from 4 monitoring stations in Sabah. The variables in the data set are API, SOLARRADIATION and WINDSPEED. Instruction 1 By assuming that the distribution of API, SOLARRADIATION and WINDSPEED in 2018 are normal, compare the mean of API between i) Station 1 & Station 2 ii) Station 3 & Station 4 Choose the correct statistical test. Discuss the results. Instruction 2 By assuming that the distribution of API, SOLARRADIATION and WINDSPEED in 2018 are normal, compare the mean of API between the four stations. Perform multiple comparison tests if necessary. Choose the correct statistical test. Discuss the results. Instruction 3 You wish to compare the API between June and December for Station 1. Choose the correct statistical test. Discuss the results. Instruction 4 Repeat Instruction 3 for the other 2 variables. Choose the correct statistical test. Discuss the results. T-TEST GROUPS=Station(1 2) /MISSING=ANALYSIS /VARIABLES=WINDSPEEDms_mean SOLARRADIATIONWm2_mean API_mean /ES DISPLAY (TRUE) /CRITERIA=CI(.95). T-Test [DataSet1] /Users/racheltan/Downloads/Tutorial_Ujiant. sav Group Statistics Std. Deviation Std. Error Mean Station N Mean WINDSPEEDms_mean 1 71 1.2215 .30094 .03572 2 365 .26948 SOLARRADIATIONWm2 mean 1 71 64.75587 2 365 1.0698 179.6278 182.4225 49.7074 41.1466 .01411 7.68511 2.43827 1.13271 .84412 APl_mean 1 46.58312 9.47696 16.12692 70 2 365 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means Sig. (2- F t df Sig. .061 tailed) .000 Mean Difference .15166 95% Confidence interval of the Difference Lower Upper .08161 .22172 Std. Error Difference .03564 3.541 4.255 434 3.950 93.104 .000 .15166 .03840 .07541 .22792 18.060 .000 --431 434 .667 -2.79470 6.48065 -15.53206 9.94267 WINDSPEEDms_mean Equal variances assumed Equal variances not assumed SOLARRADIATIONWm2_ Equal variances mean assumed Equal variances not assumed APL_mean Equal variances assumed Equal variances not assumed - 347 84.637 .730 -2.79470 8.06263 -18.82636 13.23697 45.733 .000 4.299 433 .000 8.56087 1.99148 4.64670 12.47504 6.060 157.700 .000 8.56087 1.41265 5.77072 11.35103 Independent Samples Effect Sizes Standardizera Point 95% Confidence Interval Estimate Lower Upper WINDSPEEDms mean Cohen's d .27480 .552 .295 .808 Hedges' correction .27527 .551 .294 .807 Glass's delta .26948 .563 .305 .820 SOLARRADIATIONWm2 Cohen's d 49.96330 -.056 -.310 .198 mean Hedges' correction 50.04985 -056 -.310 .198 Glass's delta 46.58312 -.060 -.314 .194 API_mean Cohen's d 15.26254 .561 .302 .819 Hedges' correction 15.28904 .560 .302 .818 Glass's delta 16.12692 1531 .272 .789 a. The denominator used in estimating the effect sizes. Cohen's d uses the pooled standard deviation. Hedges' correction uses the pooled standard deviation, plus a correction factor. Glass's deita uses the sample standard deviation of the control group. T-TEST GROUPS=Station(34) /MISSING=ANALYSIS /VARIABLES=WINDSPEEDms_mean SOLARRADIATIONWm2_mean API_mean /ES DISPLAY(TRUE) /CRITERIA=CI(.95). T-Test Group Statistics Std. Deviation Std. Error Mean Station N Mean WINDSPEEDms_mean 3 365 .32797 1.3216 1.2158 4 365 .64870 .01717 03395 3.22707 3.72917 SOLARRADIATIONWm2_ mean 3 365 190.6357 61.65312 4 226 210.9128 56.06166 API_mean 3 362 41.1814 8.78109 .46152 4 363 41.2253 14.06543 .73824 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means Std. Error F df Sig. .507 Difference Sig. (2- tailed) .006 95% Confidence Interval of the Difference Lower Upper .03111 .18050 Mean Difference .10580 t 2.781 .441 728 .03805 2.781 538.672 .006 .10580 .03805 .03106 .18054 3.900 .049 -4.021 589 .000 -20.27708 5.04298 -30.18149 -10.37267 WINDSPEEDms_mean Equal variances assumed Equal variances not assumed SOLAR RADIATIONWm2_ Equal variances mean assumed Equal variances not assumed API_mean Equal variances assumed Equal variances not assumed -4.112 511.020 .000 -20.27708 4.93160 -29.96578 -10.58838 97.142 .000 -050 723 .960 -.04382 .87116 -1.75413 1.66650 -.050 607.244 .960 -.04382 .87064 -1.75364 1.66601 Independent Samples Effect Sizes Standardizera Point 95% Confidence Interval Estimate Lower Upper WINDSPEEDms_mean Cohen's d .51399 .206 .060 .351 Hedges' correction .51452 .206 .060 .351 Glass's delta .64870 .163 .017 .309 SOLAR RADIATIONWm2 Cohen's d 59.57914 -.340 -507 -.173 mean Hedges' correction 59.65513 -.340 --507 -.173 Glass's delta 56.06166 -362 -.531 -.192 API_mean Cohen's d 11.72840 -.004 .142 Hedges' correction 11.74059 -.004 -.149 .142 Glass's delta 14.06543 -.003 -.149 .142 a. The denominator used in estimating the effect sizes. Cohen's d uses the pooled standard deviation. Hedges' correction uses the pooled standard deviation, plus a correction factor. Glass's delta uses the sample standard deviation of the control group. -.149 ONEWAY WINDSPEEDms_mean SOLARRADIATIONWm2_mean API_mean BY Station /MISSING ANALYSIS /CRITERIA=CILEVEL (0.95) /POSTHOC=TUKEY ALPHA(0.05). Oneway ANOVA df F Sig. Mean Square 3.896 WINDSPEEDms_mean 20.112 .000 3 1162 .194 1165 SOLARRADIATIONWm2_ mean Sum of Squares 11.688 225.102 236.790 125518.945 3174165.55 3299684.49 4779.272 200317.849 205097.121 3 13.484 Between Groups Within Groups Total Between Groups Within Groups Total Between Groups Within Groups Total .000 41839.648 3102.801 1023 1026 API_mean 3 9.193 .000 1593.091 173.285 1156 1159 Post Hoc Tests Multiple Comparisons Tukey HSD Mean Difference ( J) (1) Station Dependent Variable WINDSPEEDms_mean 0) Station 2 Std. Error .05709 Sig. .040 95% Confidence Interval Lower Bound Upper Bound .0048 .2985 1 3 .297 4 .05709 .05709 .05709 1.000 -.2470 -.1412 -.2985 .0468 .1526 -.0048 2 1 .040 3 .03258 .000 -.3356 -.1679 4 .03258 .000 -.2298 -.0621 3 1 .05709 .297 -.0468 .2470 2 .03258 .000 .1679 .3356 4 .03258 .007 .0220 .1896 .15166 -10008 .00572 -.15166 -.25174 -.14594 .10008 .25174 .10580* -.00572 .14594 -.10580 -2.79470 -11.00790 -31.28498 2.79470 -8.21320 -28.49028 4 1 .05709 1.000 -.1526 .0621 .1412 .2298 2 .03258 .000 3 .03258 .007 -.1896 -.0220 1 SOLARRADIATIONWm2_ mean 2 7.22511 .980 -21.3868 15.7974 3 .424 7.22511 7.57830 -29.6000 -50.7859 7.5842 -11.7840 4 .000 2 1 7.22511 1980 21.3868 2.3971 3 4.12331 -15.7974 -18.8235 -40.6229 .192 4 4.71487 .000 -16.3577 3 1 11.00790 7.22511 .424 29.6000 2 4.12331 .192 -7.5842 -2.3971 -32.4097 18.8235 -8.1445 4 4.71487 .000 4 1 8.21320 -20.27708 31.28498 28.49028 20.27708* 7.57830 .000 11.7840 50.7859 2 4.71487 .000 16.3577 40.6229 3 4.71487 .000 8.1445 32.4097 API_mean 1 2 1.71763 .000 4.1418 12.9799 3 1.71878 .000 4.1040 12.9480 8.56087* 8.52598" 8.48216* -8.56087" 4 1.71839 .000 4.0611 12.9032 2 1 1.71763 .000 -12.9799 -4.1418 3 1.000 2.4773 -.03489 -.07871 -8.52598* .97644 .97577 4 1.000 .000 -2.5471 -2.5891 -12.9480 2.4317 -4.1040 3 1 1.71878 2 .97644 4 .03489 -.04382 -8.48216* .97778 1.71839 1.000 1.000 .000 -2.4773 -2.5594 -12.9032 2.5471 2.4718 -4.0611 4 1 2 .07871 1.000 .97577 .97778 -2.4317 -2.4718 2.5891 2.5594 3 .04382 1.000 *. The mean difference is significant at the 0.05 level. Homogeneous Subsets WINDSPEEDms_mean Tukey HSDab Subset for alpha = 0.05 1 2 Station N 2 365 1.0698 4 365 1.2158 1 71 1.2215 1.3216 3 365 Sig. 1.000 .104 Means for groups in homogeneous subsets are displayed. a. Uses Harmonic Mean Sample Size = 179.343. b. The group sizes are unequal. The harmonic mean of the group sizes is used. Type 1 error levels are not guaranteed. SOLARRADIATIONWm2_mean Tukey HSDab Subset for alpha = 0.05 1 2 Station N 1 71 179.6278 w N 2 365 182.4225 365 190.6357 4 226 210.9128 Sig. .272 1.000 Means for groups in homogeneous subsets are displayed. a. Uses Harmonic Mean Sample Size = 166.745. b. The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed. APl_mean Tukey HSDa,b Subset for alpha = 0.05 1 2 N Station 2 365 41.1466 3 362 41.1814 4 363 41.2253 1 70 49.7074 Sig. 1.000 1.000 Means for groups in homogeneous subsets are displayed. a. Uses Harmonic Mean Sample Size 177.441. b. The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed
