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a/src/R/challenger.Rmd b/src/R/challenger.Rmd index 9d19787..8883e29 100644 --- a/src/R/challenger.Rmd +++ b/src/R/challenger.Rmd @@ -1,7 +1,7 @@ --- title: "Risk Analysis of the Space Shuttle: Pre-Challenger Prediction of Failure" author: "Arnaud Legrand" -date: "23 September 2018" +date: "25 October 2018" output: pdf_document --- @@ -39,7 +39,7 @@ plot(data=data, Malfunction/Count ~ Temperature, ylim=c(0,1)) # Logistic regression -Let's assume O-rings indpendently fail with the same probability which solely depends on temperature. A logistic regression should allow us to estimate the influence of temperature. +Let's assume O-rings independently fail with the same probability which solely depends on temperature. A logistic regression should allow us to estimate the influence of temperature. ```{r} logistic_reg = glm(data=data, Malfunction/Count ~ Temperature, weights=Count, @@ -47,7 +47,7 @@ logistic_reg = glm(data=data, Malfunction/Count ~ Temperature, weights=Count, summary(logistic_reg) ``` -The maximum likelyhood estimator of the intercept and of Temperature are thus $\hat{\alpha}=5.0849$ and $\hat{\beta}=-0.1156$ and their standard errors are $s_{\hat{\alpha}} = 3.052$ and $s_{\hat{\beta}} = 0.04702$. The Residual deviance corresponds to the Goodness of fit $G^2=18.086$ with 21 degrees of freedom. **I have therefore managed to replicate the results of the Dalal et al. article**. +The maximum likelyhood estimator of the intercept and of Temperature are thus $\hat{\alpha}=5.0849$ and $\hat{\beta}=-0.1156$ and their standard errors are $s_{\hat{\alpha}} = 3.052$ and $s_{\hat{\beta}} = 0.04702$. The Residual deviance corresponds to the Goodness of fit $G^2=18.086$ with 21 degrees of freedom. **I have therefore managed to replicate the results of the Dalal *et al.* article**. # Predicting failure probability The temperature when launching the shuttle was 31°F. Let's try to @@ -60,7 +60,7 @@ plot(tempv,rmv,type="l",ylim=c(0,1)) points(data=data, Malfunction/Count ~ Temperature) ``` -This figure is very similar to the Figure 4 of Dalal et al. **I have managed to replicate the Figure 4 of the Dalal et al. article.** +This figure is very similar to the Figure 4 of Dalal et al. **I have managed to replicate the Figure 4 of the Dalal *et al.* article.** # Confidence on the prediction Let's try to plot confidence intervals with ggplot2. diff --git a/src/R/challenger.pdf b/src/R/challenger.pdf index 8e264cf11e7a737982a9f03f3f38a35eb9add6f2..e2648931f090ed3df283f19604f43214e5de3870 100644 GIT binary patch delta 38224 zcmYhiQ*@wB)U6xawr$(C?WAMd$s2WSckFbMj%~B!bZp!9`SyR#*?ZsBtWm4xQ#Wg@ z(#<*QRwr5_6(~nWus$eFlJW&0&@XZFd@ZNwC8V%^Hoj2>OVS=G1A@xqOqvLKhaD@= zLgy8RE=Ro+@(L%z81xU(wg|i~rJmr=yzS2TST0gnr=IztNVuasHFMjvwV{=~NT|c7 z!6JMJ=i)$4xH-1?Vi7g|ai62Ew#=Dbo+Yj5-Tc~R&}UqSSfo;0-E`&qHK+nHID|J!g?8fCah02-|T^ldYW4SO!XLuo^%a{WipBANfiL z`C1)Es 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