Univariate analysis for Y

Prepared by BrailleR

Basic summary measures

Counts

10 values in all, made up of 10 unique values, 10 observed, and 0 missing values.

Measures of location

Data all 5% trimmed 10% trimmed
Mean 166 166 166

Quantiles

Quantile Value
0% Minimum 156.00
25% Lower Quartile 159.25
50% Median 167.00
75% Upper Quartile 170.50
100% Maximum 178.00

Measures of spread

Measure IQR Standard deviation Variance
Value 11.25 7.5424723 56.8888889

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: 155, 160, 165, 170, 175, and 180 
There are a total of 10 elements for this variable.
Tick marks for the y-axis are at: 0, 1, 2, 3, and 4 
It has 5 bins with equal widths, starting at 155 and ending at 180 .
The mids and counts for the bins are:
mid = 157.5  count = 4 
mid = 162.5  count = 0 
mid = 167.5  count = 3 
mid = 172.5  count = 2 
mid = 177.5  count = 1

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: 160, 165, 170, and 175 
This variable  has 10 values.
There are no outliers marked for this variable 
The whiskers extend to 156 and 178 from the ends of the box, 
which are at 159 and 171 
The median, 167 is 67 % from the left end of the box to the right end.
The right whisker is 2.33 times the length of the left whisker.

Assessing normality

Formal tests for normality

Statistic P Value
Shapiro-Wilk 0.9429 0.5855
Anderson-Darling 0.2679 0.6000
Cramer-von Mises 0.0409 0.6265
Lilliefors (Kolmogorov-Smirnov) 0.1868 0.4140
Pearson chi-square 3.2000 0.3618
Shapiro-Francia 0.9595 0.7508
Warning: package 'xtable' was built under R version 3.6.1

Normality plot

The 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 0.1490 0.267 0.7898
Anscombe-Glynn kurtosis 1.7476 -1.052 0.2930