Distribution of handwashing time data
Handwashing Times: An Observational Study Based on Gender and Age
Results
| Table 1. Descriptive statistics of age variable (grouped by gender) | |||||||
| Sex | Statistic | Std. Error | |||||
| Age | Male | Mean | 20.0000 | .20203 | |||
| 95% Confidence Interval for Mean | Lower Bound | 19.5940 | |||||
| Upper Bound | 20.4060 | ||||||
| 5% Trimmed Mean | 20.0000 | ||||||
| Median | 20.0000 | ||||||
| Variance | 2.041 | ||||||
| Std. Deviation | 1.42857 | ||||||
| Minimum | 18.00 | ||||||
| Maximum | 22.00 | ||||||
| Range | 4.00 | ||||||
| Interquartile Range | 2.00 | ||||||
| Skewness | .000 | .337 | |||||
| Kurtosis | -1.310 | .662 | |||||
| Female | Mean | 20.0000 | .20203 | ||||
| 95% Confidence Interval for Mean | Lower Bound | 19.5940 | |||||
| Upper Bound | 20.4060 | ||||||
| 5% Trimmed Mean | 20.0000 | ||||||
| Median | 20.0000 | ||||||
| Variance | 2.041 | ||||||
| Std. Deviation | 1.42857 | ||||||
| Minimum | 18.00 | ||||||
| Maximum | 22.00 | ||||||
| Range | 4.00 | ||||||
| Interquartile Range | 2.00 | ||||||
| Skewness | .000 | .337 | |||||
| Kurtosis | -1.310 | .662 |
| Table 2. Descriptive statistics of handwashing time variable (grouped by gender) | |||||||
| Sex | Statistic | Std. Error | |||||
| SecondsOfHandwasing | Male | Mean | 8.3000 | .51528 | |||
| 95% Confidence Interval for Mean | Lower Bound | 7.2645 | |||||
| Upper Bound | 9.3355 | ||||||
| 5% Trimmed Mean | 8.3556 | ||||||
| Median | 8.0000 | ||||||
| Variance | 13.276 | ||||||
| Std. Deviation | 3.64356 | ||||||
| Minimum | 1.00 | ||||||
| Maximum | 15.00 | ||||||
| Range | 14.00 | ||||||
| Interquartile Range | 5.00 | ||||||
| Skewness | -.059 | .337 | |||||
| Kurtosis | -.630 | .662 | |||||
| Female | Mean | 8.5800 | .58000 | ||||
| 95% Confidence Interval for Mean | Lower Bound | 7.4144 | |||||
| Upper Bound | 9.7456 | ||||||
| 5% Trimmed Mean | 8.4889 | ||||||
| Median | 8.0000 | ||||||
| Variance | 16.820 | ||||||
| Std. Deviation | 4.10122 | ||||||
| Minimum | 2.00 | ||||||
| Maximum | 18.00 | ||||||
| Range | 16.00 | ||||||
| Interquartile Range | 7.00 | ||||||
| Skewness | .241 | .337 | |||||
| Kurtosis | -.741 | .662 |
| Table 3. Descriptive statistics of handwashing time variable (ungrouped) | ||||||
| Statistic | Std. Error | |||||
| SecondsOfHandwasing | Mean | 8.4400 | .38621 | |||
| 95% Confidence Interval for Mean | Lower Bound | 7.6737 | ||||
| Upper Bound | 9.2063 | |||||
| 5% Trimmed Mean | 8.4000 | |||||
| Median | 8.0000 | |||||
| Variance | 14.916 | |||||
| Std. Deviation | 3.86207 | |||||
| Minimum | 1.00 | |||||
| Maximum | 18.00 | |||||
| Range | 17.00 | |||||
| Interquartile Range | 6.00 | |||||
| Skewness | .129 | .241 | ||||
| Kurtosis | -.665 | .478 |
| Table 4. Percentiles of handwashing time variable (ungrouped) | |||||||||||||||
| Percentiles | |||||||||||||||
| 5 | 10 | 25 | 50 | 75 | 90 | 95 | |||||||||
| Weighted Average
(Definition 1) |
SecondsOfHandwasing | 2.0000 | 3.1000 | 6.0000 | 8.0000 | 12.0000 | 14.0000 | 14.9500 | |||||||
| Tukey’s Hinges | SecondsOfHandwasing | 6.0000 | 8.0000 | 12.0000 |
| Table 5. Tests of Normality for age variable (grouped by gender) | |||||||||||||
| Sex | Kolmogorov-Smirnova | Shapiro-Wilk | |||||||||||
| Statistic | df | Sig. | Statistic | df | Sig. | ||||||||
| Age | Male | .158 | 50 | .003 | .888 | 50 | .000 | ||||||
| Female | .158 | 50 | .003 | .888 | 50 | .000 | |||||||
| a. Lilliefors Significance Correction |
| Table 6. Tests of Normality for handwashing time variable (grouped by gender) | |||||||||||||
| Sex | Kolmogorov-Smirnova | Shapiro-Wilk | |||||||||||
| Statistic | df | Sig. | Statistic | df | Sig. | ||||||||
| SecondsOfHandwasing | Male | .099 | 50 | .200* | .970 | 50 | .229 | ||||||
| Female | .115 | 50 | .094 | .966 | 50 | .158 | |||||||
| a. Lilliefors Significance Correction
*. This is a lower bound of the true significance. |
| Table 7. Tests of Normality for handwashing time variable (ungrouped) | ||||||||||||
| SecondsOfHandwasing | Kolmogorov-Smirnova | Shapiro-Wilk | ||||||||||
| Statistic | df | Sig. | Statistic | df | Sig. | |||||||
| .105 | 100 | .008 | .979 | 100 | .108 | |||||||
| a. Lilliefors Significance Correction |
Figure 1. Distribution of age data (grouped by gender)
Figure 2. Distribution of handwashing time data (grouped by gender)
Figure 3. Distribution of handwashing time data (ungrouped)
| Table 8. Correlation Analysis of age vs. handwashing time | |||||
| Age | SecondsOfHandwasing | ||||
| Age | Pearson Correlation | 1 | -.118 | ||
| Sig. (2-tailed) | .243 | ||||
| N | 100 | 100 | |||
| SecondsOfHandwasing | Pearson Correlation | -.118 | 1 | ||
| Sig. (2-tailed) | .243 | ||||
| N | 100 | 100 |
Figure 4. Scatterplot of age vs. handwashing time
| Table 9. Independent samples t-test analysis (handwashing time based on gender) | |||||||||||||||||||
| Levene’s Test for Equality of Variances | t-test for Equality of Means | 95% Confidence Interval of the Difference | |||||||||||||||||
| F | Sig. | t | df | Sig. (2-tailed) | Mean Difference | Std. Error Difference | Lower | Upper | |||||||||||
| SecondsOf
Handwasing |
Equal variances assumed | 1.540 | .218 | -.361 | 98 | .719 | -.280 | .77583 | -1.8196 | 1.2596 | |||||||||
| Equal variances not assumed | -.361 | 96.659 | .719 | -.280 | .77583 | -1.8199 | 1.2599 |