Univariate analysis for Y

Prepared by BrailleR

Basic summary measures

Counts

29 values in all, made up of 23 unique values, 29 observed, and 0 missing values.

Measures of location

Data all 5% trimmed 10% trimmed
Mean 9.7827586 9.7827586 9.7962963

Quantiles

Quantile Value
0% Minimum 6.3
25% Lower Quartile 7.9
50% Median 10.3
75% Upper Quartile 11.2
100% Maximum 12.9

Measures of spread

Measure IQR Standard deviation Variance
Value 3.3 1.9863946 3.9457635

Basic univariate graphs

Histogram

The histogram

This is a histogram, with the title: Histogram of y
"y" is marked on the x-axis.
Tick marks for the x-axis are at: 6, 7, 8, 9, 10, 11, 12, and 13 
There are a total of 29 elements for this variable.
Tick marks for the y-axis are at: 0, 2, 4, 6, and 8 
It has 7 bins with equal widths, starting at 6 and ending at 13 .
The mids and counts for the bins are:
mid = 6.5  count = 3 
mid = 7.5  count = 5 
mid = 8.5  count = 2 
mid = 9.5  count = 2 
mid = 10.5  count = 8 
mid = 11.5  count = 7 
mid = 12.5  count = 2

Boxplot

The boxplot

This graph has a boxplot printed horizontally
with the title: 
"" appears on the x-axis.
"" appears on the y-axis.
Tick marks for the x-axis are at: 7, 8, 9, 10, 11, 12, and 13 
This variable  has 29 values.
There are no outliers marked for this variable 
The whiskers extend to 6.3 and 12.9 from the ends of the box, 
which are at 7.9 and 11.2 
The median, 10.3 is 73 % from the left end of the box to the right end.
The right whisker is 1.06 times the length of the left whisker.

Assessing normality

Formal tests for normality

Statistic P Value
Shapiro-Wilk 0.9196 0.0297
Anderson-Darling 0.9540 0.0137
Cramer-von Mises 0.1748 0.0103
Lilliefors (Kolmogorov-Smirnov) 0.1497 0.0957
Pearson chi-square 8.2414 0.1434
Shapiro-Francia 0.9323 0.0610

Normality plot

The normality plot

Formal tests of moments

Statistic Z P Value
D'Agostino skewness -0.3681 -0.935 0.3497
Anscombe-Glynn kurtosis 1.8967 -1.878 0.0604