Univariate analysis for Y
Prepared by BrailleR
Basic summary measures
Counts
29 values in all, made up of
23 unique values,
29 observed, and
0 missing values.
Measures of location
Data |
all |
5% trimmed |
10% trimmed |
Mean |
9.7827586 |
9.7827586 |
9.7962963 |
Quantiles
|
Quantile |
Value |
0% |
Minimum |
6.3 |
25% |
Lower Quartile |
7.9 |
50% |
Median |
10.3 |
75% |
Upper Quartile |
11.2 |
100% |
Maximum |
12.9 |
Measures of spread
Measure |
IQR |
Standard deviation |
Variance |
Value |
3.3 |
1.9863946 |
3.9457635 |
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: 6, 7, 8, 9, 10, 11, 12, and 13
There are a total of 29 elements for this variable.
Tick marks for the y-axis are at: 0, 2, 4, 6, and 8
It has 7 bins with equal widths, starting at 6 and ending at 13 .
The mids and counts for the bins are:
mid = 6.5 count = 3
mid = 7.5 count = 5
mid = 8.5 count = 2
mid = 9.5 count = 2
mid = 10.5 count = 8
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: 7, 8, 9, 10, 11, 12, and 13
This variable has 29 values.
There are no outliers marked for this variable
The whiskers extend to 6.3 and 12.9 from the ends of the box,
which are at 7.9 and 11.2
The median, 10.3 is 73 % from the left end of the box to the right end.
The right whisker is 1.06 times the length of the left whisker.
Assessing normality
Formal tests for normality
|
Statistic |
P Value |
Shapiro-Wilk |
0.9196 |
0.0297 |
Anderson-Darling |
0.9540 |
0.0137 |
Cramer-von Mises |
0.1748 |
0.0103 |
Lilliefors (Kolmogorov-Smirnov) |
0.1497 |
0.0957 |
Pearson chi-square |
8.2414 |
0.1434 |
Shapiro-Francia |
0.9323 |
0.0610 |
Normality plot
Formal tests of moments
|
Statistic |
Z |
P Value |
D'Agostino skewness |
-0.3681 |
-0.935 |
0.3497 |
Anscombe-Glynn kurtosis |
1.8967 |
-1.878 |
0.0604 |