# Analysis of the Lectura data, using Tiempo_primeralectura as the response variable and Instructor as the single grouping factor.

## Group summaries

Level Mean Standard deviation n Standard error
Instructor 1 88.9382 10.62567 100 1.062567
Instructor 2 86.3614 10.11707 100 1.011707
Instructor 3 89.7064 10.62257 100 1.062257
Instructor 4 88.5433 10.22326 100 1.022326

The ratio of the largest group standard deviation to the smallest is 1.05

## Comparative boxplots

`````` This graph has 4 boxplots printed vertically
with the title:
"" appears on the x-axis.
"" appears on the y-axis.
Tick marks for the y-axis are at: 60, 70, 80, 90, 100, 110, and 120
Group Instructor 1 has 100 values.
An outlier is marked at: 59.29
The whiskers extend to 61.76 and 111.71 from the ends of the box,
which are at 81.76 and 96.62
The median, 88.565 is 46 % from the lower end of the box to the upper end.
The upper whisker is 0.75 times the length of the lower whisker.
Group Instructor 2 has 100 values.
An outlier is marked at: 115.49
The whiskers extend to 64.74 and 109.8 from the ends of the box,
which are at 77.775 and 92.43
The median, 86.73 is 61 % from the lower end of the box to the upper end.
The upper whisker is 1.33 times the length of the lower whisker.
Group Instructor 3 has 100 values.
An outlier is marked at: 62.39
The whiskers extend to 66.78 and 116.84 from the ends of the box,
which are at 84.09 and 97.41
The median, 88.935 is 36 % from the lower end of the box to the upper end.
The upper whisker is 1.12 times the length of the lower whisker.
Group Instructor 4 has 100 values.
An outlier is marked at: 119.91
The whiskers extend to 64.2 and 111.53 from the ends of the box,
which are at 82.525 and 95.3
The median, 88.13 is 44 % from the lower end of the box to the upper end.
The upper whisker is 0.89 times the length of the lower whisker.
``````

## Comparative dotplots

``````Warning in dotplot.formula(tiempo_primeralectura ~ Instructor, xlab =
"Tiempo_primeralectura", : The dotplot command is a wrapper for stripchart, and
is not a base R function.
``````

``````This graph has 400 dotplots printed horizontally
with the title:
"" appears on the x-axis.
"" appears on the y-axis.
Tick marks for the x-axis are at: 60, 70, 80, 90, 100, 110, and 120
the data that range from 59.29 to 119.91 has been broken into 6 bins.
The counts are:
Instructor 1: 1 0 0 0 0 0
Instructor 2: 1 0 0 0 0 0
Instructor 3: 1 0 0 0 0 0
Instructor 4: 1 0 0 0 0 0
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``````

## One-way Analysis of Variance

``````
The p value for Instructor is 0.1286

The ratios of the group standard deviations to the overall standard deviation
(groups ordered by increasing mean) are:
1.02 0.97 1.02 0.98

``````
``````             Df Sum Sq Mean Sq F value Pr(>F)
Instructor    3    617   205.7   1.902  0.129
Residuals   396  42829   108.2
``````

## Tests for homogeneity of Variance

``````
Bartlett test of homogeneity of variances

data:  tiempo_primeralectura by Instructor
Bartlett's K-squared = 0.38638, df = 3, p-value = 0.943
``````
``````
Fligner-Killeen test of homogeneity of variances

data:  tiempo_primeralectura by Instructor
Fligner-Killeen:med chi-squared = 1.3492, df = 3, p-value = 0.7175
``````