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

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: 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

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: 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

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 0.3367 0.869 0.3849
Anscombe-Glynn kurtosis 2.4641 -0.375 0.7079