Shapiro-Wilks test in JASP

Table 1

- Mean: 17.505

- Median: 5.800

The mean is significantly larger than the median, indicating

that the distribution is right-skewed. The presence of outliers

on the higher end is pulling the mean to the right.

- Skewness: 8.411

The positive skewness value confirms the right-skewed

nature of the data. The skewness being positive suggests that

the tail on the right side of the distribution is longer or fatter

than the left side.

- Kurtosis: 80.036

The high kurtosis value indicates heavy tails and a high peak

in the distribution. This suggests that the data has more

extreme values (outliers) than a normal distribution.

- P-value of Shapiro-Wilk: < 0.001

The p-value is less than 0.05, indicating that we reject the null hypothesis of normality. The data is

not normally distributed.

Figure 1

Average Length of Stay

Figure 1 shows the distribution of the

continuous variable average length of stay to

the right-skewed. This suggests that of the

lower end with a few larger values extending

the distribution towards the higher end. This

suggest asymmetry and the specific pattern on

the left is characteristic of the right-skewed

distribution.

In summary, as seen both in Table 1 and Figure 1 the data is right-skewed with a high kurtosis,

indicating the presence of outliers. The Shapiro-Wilk test further confirms that the data does not

follow a normal distribution. The choice of statistical tests and methods may need to be adjusted

accordingly, considering the non-normal nature of the data. Finally, the evidence does not support a

normally distributed variable.

Average Length of Stay

Statistics Values

Valid 300

Missing 0

Median 5.800

Mean 17.505

Std. Deviation 58.510

Skewness 8.411

Std. Error of Skewness 0.141

Kurtosis 80.036

Std. Error of Kurtosis 0.281

Shapiro-Wilk 0.211

P-value of Shapiro-Wilk < .001

Minimum 1.200

Maximum 680.700