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[16.904621019412819,13.779511966651611]
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[17.128176938552578,11.358247021182716]
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[18.260684650756865,14.106249091223944]

{"sheet":"Normality tests","index":1,"n_rows":175,"n_cols":9,"rows_kept":175,"cut":false,"hidden":false,"merged":[[105,1,106,9],[120,1,121,9],[23,1,24,9],[36,1,37,9],[50,1,51,9],[65,1,66,9],[78,1,79,9],[91,1,92,9]]}
[null,"XLSTAT 2024.2.2.1422 - Normality tests - Start time: 08/13/2024 at 12:17:45 / End time: 08/13/2024 at 12:17:47 / Microsoft Excel 16.017830"]
[null,"Data: Workbook = demo-Norm-EN (1).xlsm / Sheet = Données / Range = 'Données'!$A$1:$B$1001 / 1000 rows and 2 columns"]
[null,"Significance level (%): 5"]
[]
[]
[]
[]
[null,"Summary statistics:"]
[]
[null,"Variable","Observations","Obs. with missing data","Obs. without missing data","Minimum","Maximum","Mean","Std. deviation"]
[null,"SampleA",1000,0,1000,4.9044479459713006,18.260684650756865,11.845703003323143,1.9995782994066944]
[null,"SampleB",1000,0,1000,8.5032555003539336,14.999637125662925,11.686519472852099,1.9161126116188762]
[]
[]
[null,"Shapiro-Wilk test (SampleA):"]
[]
[null,"W",0.99877237295840726]
[null,"p-value (Two-tailed)",0.73683316357586492]
[null,"alpha",0.05]
[]
[null,"Test interpretation:"]
[null,"H0: The variable from which the sample was extracted follows a Normal distribution."]
[null,"Ha: The variable from which the sample was extracted does not follow a Normal distribution."]
[null,"As the computed p-value is greater than the significance level alpha=0.05, one cannot reject the null hypothesis H0."]
[]
[]
[]
[null,"Anderson-Darling test (SampleA):"]
[]
[null,"A²",0.43433610379440779]
[null,"p-value (Two-tailed)",0.3003075636617194]
[null,"alpha",0.05]
[]
[null,"Test interpretation:"]
[null,"H0: The variable from which the sample was extracted follows a Normal distribution."]
[null,"Ha: The variable from which the sample was extracted does not follow a Normal distribution."]
[null,"As the computed p-value is greater than the significance level alpha=0.05, one cannot reject the null hypothesis H0."]
[]
[]
[]
[null,"Lilliefors test (SampleA):"]
[]
[null,"D",2.1576212495501512E-2]
[null,"D (standardized)",0.68229974765570267]
[null,"p-value (Two-tailed)",0.31209437414628383]
[null,"alpha",0.05]
[]
[null,"Test interpretation:"]
[null,"H0: The variable from which the sample was extracted follows a Normal distribution."]
[null,"Ha: The variable from which the sample was extracted does not follow a Normal distribution."]
[null,"As the computed p-value is greater than the significance level alpha=0.05, one cannot reject the null hypothesis H0."]
[]
[]
[]
[null,"Jarque-Bera test (SampleA):"]
[]
[null,"JB (Observed value)",0.26643560451106263]
[null,"JB (Critical value)",5.9914645471101275]
[null,"DF",2]
[null,"p-value (Two-tailed)",0.87527443460064214]
[null,"alpha",0.05]
[]
[null,"Test interpretation:"]
[null,"H0: The variable from which the sample was extracted follows a Normal distribution."]
[null,"Ha: The variable from which the sample was extracted does not follow a Normal distribution."]
[null,"As the computed p-value is greater than the significance level alpha=0.05, one cannot reject the null hypothesis H0."]
[]
[]
[]
[null,"Shapiro-Wilk test (SampleB):"]
[]
[null,"W",0.94674314334902576]
[null,"p-value (Two-tailed)",0]
[null,"alpha",0.05]
[]
[null,"Test interpretation:"]
[null,"H0: The variable from which the sample was extracted follows a Normal distribution."]
[null,"Ha: The variable from which the sample was extracted does not follow a Normal distribution."]
[null,"As the computed p-value is lower than the significance level alpha=0.05, one should reject the null hypothesis H0, and accept the alternative hypothesis Ha."]
[]
[]
[]
[null,"Anderson-Darling test (SampleB):"]
[]
[null,"A²",14.640096209588364]
[null,"p-value (Two-tailed)",9.3332074440645775E-35]
[null,"alpha",0.05]
[]
[null,"Test interpretation:"]
[null,"H0: The variable from which the sample was extracted follows a Normal distribution."]
[null,"Ha: The variable from which the sample was extracted does not follow a Normal distribution."]
[null,"As the computed p-value is lower than the significance level alpha=0.05, one should reject the null hypothesis H0, and accept the alternative hypothesis Ha."]
[]
[]
[]
[null,"Lilliefors test (SampleB):"]
[]
[null,"D",7.8045376163469876E-2]
[null,"D (standardized)",2.4680114952117851]
[null,"p-value (Two-tailed)",9.3286337600783244E-16]
[null,"alpha",0.05]
[]
[null,"Test interpretation:"]
[null,"H0: The variable from which the sample was extracted follows a Normal distribution."]
[null,"Ha: The variable from which the sample was extracted does not follow a Normal distribution."]
[null,"As the computed p-value is lower than the significance level alpha=0.05, one should reject the null hypothesis H0, and accept the alternative hypothesis Ha."]
[]
[]
[]
[null,"Jarque-Bera test (SampleB):"]
[]
[null,"JB (Observed value)",67.766007234775373]
[null,"JB (Critical value)",5.9914645471101275]
[null,"DF",2]
[null,"p-value (Two-tailed)",1.8873791418627661E-15]
[null,"alpha",0.05]
[]
[null,"Test interpretation:"]
[null,"H0: The variable from which the sample was extracted follows a Normal distribution."]
[null,"Ha: The variable from which the sample was extracted does not follow a Normal distribution."]
[null,"As the computed p-value is lower than the significance level alpha=0.05, one should reject the null hypothesis H0, and accept the alternative hypothesis Ha."]
[]
[]
[]
[null,"Summary:"]
[]
[null,"Variable\\Test","Shapiro-Wilk","Anderson-Darling","Lilliefors","Jarque-Bera"]
[null,"SampleA",0.73683316357586492,0.3003075636617194,0.31209437414628383,0.87527443460064214]
[null,"SampleB",0,9.3332074440645775E-35,9.3286337600783244E-16,1.8873791418627661E-15]
[]
[]
[null,"Normal P-P plots:"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null," "]
[]
[]
[null,"Normal Q-Q plots:"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null," "]

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