1. Calculus I with modules (4 points) Calculus I class is done with a different
ID: 3180685 • Letter: 1
Question
1. Calculus I with modules (4 points) Calculus I class is done with a different teaching style called calculus with modules. All students in Calculus I have to be able to pass 5 learning objectives. The assessment tools for those learning objectives are common throughout calculus I. In the excel file SLO-Modules you will find the percentages for my students. The average scores for each SLO for all classes in Calculus 1 are: 0.75, 0.88, 0.75, 0.68, 0.36 respectively. Design a p-value test and try to find out if teaching calculus I with modules improves the SLO averages. You can use SAS or RExplanation / Answer
> x1=c(0.6,1,0.8,0.9,1,1,1,0.8,1,0.8,1,0.9,0.6,1,1,1)
> x2=c(1,1,1,0.4,1,1,1,0.6,0.8,0.6,1,0.6,0,0.6,1,0.8)
> x3=c(0.8,0.8,0.6,0.3,1,0.4,0.7,0.5,0.6,0.8,0.9,0.4,0.4,0.6,1,0.8)
> x4=c(0.6,1,0,0.6,1,0,0.5,0.9,1,0.8,0.9,0.4,0.5,0.6,1,1)
> x5=c(0.8,0.5,0.6,0.2,1,0.8,0.4,0.8,0.4,0.8,0.8,0.7,0.7,0.6,1,1)
> x=cbind(x1,x2,x3,x4,x5)
> y=c(x1,x2,x3,x4,x5)
> summary(x)
x1 x2 x3 x4 x5
Min. :0.6 Min. :0.000 Min. :0.3000 Min. :0.000 Min. :0.2000
1st Qu.:0.8 1st Qu.:0.600 1st Qu.:0.4750 1st Qu.:0.500 1st Qu.:0.5750
Median :1.0 Median :0.900 Median :0.6500 Median :0.700 Median :0.7500
Mean :0.9 Mean :0.775 Mean :0.6625 Mean :0.675 Mean :0.6937
3rd Qu.:1.0 3rd Qu.:1.000 3rd Qu.:0.8000 3rd Qu.:1.000 3rd Qu.:0.8000
Max. :1.0 Max. :1.000 Max. :1.0000 Max. :1.000 Max. :1.0000
> n = rep(16, 5)
> group = rep(1:5, n)
> data = data.frame(y = y, group = factor(group))
> fit = lm(y ~ group, data)
> anova(fit)
Analysis of Variance Table
Response: y
Df Sum Sq Mean Sq F value Pr(>F)
group 4 0.6270 0.156750 2.4356 0.05448 .
Residuals 75 4.8269 0.064358
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Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
From this we can say that teaching calculus I with improves the SLO averages.
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