Univariate analysis for Y
Prepared by BrailleR
Basic summary measures
Counts
30 values in all, made up of
8 unique values,
30 observed, and
0 missing values.
Measures of location
Data |
all |
5% trimmed |
10% trimmed |
Mean |
17.2 |
17.2 |
17.1785714 |
Quantiles
|
Quantile |
Value |
0% |
Minimum |
14 |
25% |
Lower Quartile |
16 |
50% |
Median |
17 |
75% |
Upper Quartile |
18 |
100% |
Maximum |
21 |
Measures of spread
Measure |
IQR |
Standard deviation |
Variance |
Value |
2 |
1.8827713 |
3.5448276 |
Basic univariate graphs
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: 14, 15, 16, 17, 18, 19, 20, and 21
There are a total of 30 elements for this variable.
Tick marks for the y-axis are at: 0, 1, 2, 3, 4, 5, 6, and 7
It has 7 bins with equal widths, starting at 14 and ending at 21 .
The mids and counts for the bins are:
mid = 14.5 count = 5
mid = 15.5 count = 7
mid = 16.5 count = 6
mid = 17.5 count = 5
mid = 18.5 count = 3
mid = 19.5 count = 2
mid = 20.5 count = 2
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: 14, 15, 16, 17, 18, 19, 20, and 21
This variable has 30 values.
There are no outliers marked for this variable
The whiskers extend to 14 and 21 from the ends of the box,
which are at 16 and 18
The median, 17 is 50 % from the left end of the box to the right end.
The right whisker is 1.5 times the length of the left whisker.
Assessing normality
Formal tests for normality
|
Statistic |
P Value |
Shapiro-Wilk |
0.9550 |
0.2291 |
Anderson-Darling |
0.5122 |
0.1796 |
Cramer-von Mises |
0.0894 |
0.1499 |
Lilliefors (Kolmogorov-Smirnov) |
0.1423 |
0.1256 |
Pearson chi-square |
12.6667 |
0.0267 |
Shapiro-Francia |
0.9624 |
0.3018 |
Normality plot

Formal tests of moments
Attaching package: 'moments'
The following objects are masked from 'package:e1071':
kurtosis, moment, skewness
|
Statistic |
Z |
P Value |
D'Agostino skewness |
0.3367 |
0.869 |
0.3849 |
Anscombe-Glynn kurtosis |
2.4641 |
-0.375 |
0.7079 |