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
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
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
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 |