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A comparison of normality tests using SPSS, SAS and MINITAB: An application to Health Related Quality of Life data

Nornadiah Mohd Razali, Norin Rahayu Shamsudin, Nur Niswah Naslina Azid Maarof, Az’lina Abdul Hadi, Adriana Ismail

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Abstract

Numerous studies have been conducted on the power of various tests of normality such as Shapiro-Wilk (SW), Kolmogorov-Smirnov (KS), Lilliefors (LF) and AndersonDarling (AD) tests. This paper focuses on the application of these normality tests. The mentioned tests of normality were performed on Health Related Quality of Life (HRQoL) data sets using three different statistical packages; SPSS, SAS and MINITAB. The results for small, moderate and large sample were compared. Comparisons were also made with the results obtained from a simulation study. On top of that, other methods for testing normality such as the skewness and kurtosis coefficients provided in different statistical packages were also presented.

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What this paper is about

Numerous studies have been conducted on the power of various tests of normality such as Shapiro-Wilk (SW), Kolmogorov-Smirnov (KS), Lilliefors (LF) and AndersonDarling (AD) tests. This paper focuses on the application of these normality tests. The mentioned tests of normality were performed on Health Related Quality of Life (HRQoL) data sets using three different statistical packages; SPSS, SAS and MINITAB. The results for small, moderate and large sample were compared. Comparisons were also made with the results obtained from a simulation study. On top of that, other methods for testing normality such as the skewness and kurtosis coefficients provided in different statistical packages were also presented.

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OpenAlex reports 13 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Numerous studies have been conducted on the power of various tests of normality such as Shapiro-Wilk (SW), Kolmogorov-Smirnov (KS), Lilliefors (LF) and AndersonDarling (AD) tests. This paper focuses on the application of these normality tests. The mentioned tests of normality were performed on Health Related Quality of Life (HRQoL) data sets using three different statistical packages; SPSS, SAS and MINITAB. The results for small, moderate and large sample were compared. Comparisons were also made with the results obtained from a simulation study. On top of that, other methods for testing normality such as the skewness and kurtosis coefficients provided in different statistical packages were also presented.

Key concepts: Normality, Normality test, Kurtosis, Statistics, Skewness, Sample size determination, Statistical hypothesis testing, Sample (material)

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