Univariate analysis for Y

Prepared by BrailleR

Basic summary measures

Counts

17 values in all, made up of 13 unique values, 17 observed, and 0 missing values.

Measures of location

Data all 5% trimmed 10% trimmed
Mean 10.9058824 10.9058824 10.9058824

Quantiles

Quantile Value
0% Minimum 8.3
25% Lower Quartile 10.5
50% Median 11.1
75% Upper Quartile 11.4
100% Maximum 12.9

Measures of spread

Measure IQR Standard deviation Variance
Value 0.9 1.3098047 1.7155882

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: 8, 9, 10, 11, 12, and 13 
There are a total of 17 elements for this variable.
Tick marks for the y-axis are at: 0, 1, 2, 3, 4, 5, 6, and 7 
It has 5 bins with equal widths, starting at 8 and ending at 13 .
The mids and counts for the bins are:
mid = 8.5  count = 3 
mid = 9.5  count = 0 
mid = 10.5  count = 5 
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: 9, 10, 11, 12, and 13 
This variable  has 17 values.
An outlier is marked at: 8.3 8.6 8.8 12.9 12.9 
The whiskers extend to 10.5 and 12 from the ends of the box, 
which are at 10.5 and 11.4 
The median, 11.1 is 67 % from the left end of the box to the right end.
The right whisker is Inf times the length of the left whisker.

Assessing normality

Formal tests for normality

Statistic P Value
Shapiro-Wilk 0.9021 0.0737
Anderson-Darling 0.7508 0.0406
Cramer-von Mises 0.1307 0.0382
Lilliefors (Kolmogorov-Smirnov) 0.2019 0.0640
Pearson chi-square 4.8235 0.3059
Shapiro-Francia 0.9051 0.0771

Normality plot

The normality plot

Formal tests of moments

Statistic Z P Value
D'Agostino skewness -0.6142 -1.264 0.2063
Anscombe-Glynn kurtosis 2.8815 0.512 0.6087