A keyboard manufacturer is assessing the durability of keyboard designs for it's new line of gaming keyboards, the RGB Proking Deluxe (Over 16 trillion colours and 32 different lighting effects!). They are testing out 4 different keyswitch options, rubber dome (RD), electro-capacitive (EC), foam and foil (FAF) and linear mechanical red switches (LMS) along with 4 different backplate options, no backplate (NBP), plastic backplate (PBP), aluminum backplate (ABP) and steel backplate (SBP). Three prototype keyboards of each pair of options were built and tested using typing robots which pressed the keys until failure. The number of keys pressed until failure on each unit were recorded (in millions) and are given below in the following csv file. The company is assuming there is no interaction between backplate and keyswitch type. If you can't use the csv download button for whatever reason, the data is given at the bottom of this page. Use R to anwser the following questions and fill in the two way ANOVA table. Download csv Source DF SSMS Switch Type Backplate Error Total What is the grand mean of the data? [1 pt(s)] Submit Answer Tries 0/3 Suppose you want to find the cell means for the backplates. Assuming you've read the keyboard data into the variable keydat, and you want to put the means into a variable called bpmeans which of the following R lines would do that? Incorrect bpmeans 0.25 (1 pt(s)] Incorrect. Tries 1/1 Previous Tries Calculate the F statistic for backplate type [1 pt(s)] Tries 0/3 Submit Answer Calculate SSE [1 pt(s)] Submit Answer Tries 0/3 Calculate the Mean Squared for the switch type [1 pt(s)] Submit Answer Tries 0/3 Calculate the Mean Squared for the backplate type [1 pt(s) Submit Answer Tries 0/3 Calculate MSE [1 pt(s)] Submit Answer Tries 0/3 Calculate the F statistic for switch type (1 pt(s)] Submit Answer Tries 0/3 Pick the interval the p value lies in O p-value 0.25 (1 pt(s)] Incorrect. Tries 1/1 Previous Tries Calculate the F statistic for backplate type [1 pt(s)] Tries 0/3 Submit Answer Pick the interval the p value lies in O p-value 0.25 [1 pt(s)] Submit Answer Tries 0/1 Suppose now that backplate is no longer considered a factor and switch type is the only factor with 12 replicates. Compute the values needed to fill in the blanks. Source DF SSMSF Switch Type Error Total Compute the value of the Error degrees of freedom [1 pt(s)] Tries 0/1 Submit Answer Compute the Error sum of squares [1 pt(s)] Submit Answer Tries 0/3 Calculate the value of MSE [1 pt(s)] Submit Answer Tries 0/3 Compute the factor (switch type) F-statistic [1 pt(s)] Submit Answer Tries 0/3 Pick the interval the p value lies in O p-value 0.25 (1 pt(s)] Switch Backplate Keyboard KeysPressed RD NBP 1 19.38 EC NBP 1 20.81 FAF INBP 1 22.78 LMS NBP 1 21.8 RD PBP 20.69 EC PBP 1 20.96 1 FAF PBP 1 20.92 LMS PBP 1 22.11 RD | 1 20.4 EC ABP 1 18.72 FAF ABP 1 20.14 LMS ABP 1 21.6 RD SBP 1 28.84 EC 1 SBP SBP FAF 1 30.28 29.38 30.77 LMS 1 RD | 2 SBP NBP NBP NBP 20.26 20.46 EC 2 FAF |2 21.05 LMS NBP 22.01 12 12 RD PBP 20.76 20.59 EC PBP 2 FAF PBP 2 19.5 LMS PBP 2 21.42 RD ABP 2 21.52 EC ABP 18.25 2 12 FAF ABP 22.07 LMS ABP 2 22.13 RD SBP 2 30.22 EC SBP 2 27.87 30.66 IFAF SBP 2 LMS SBP 2 30.16 RD INBP 3 21.15 24.11 EC 3 NBP NBP FAF 3 21.06 21.86 LMS NBP 3 RD PBP 3 21.63 19.5 EC PBP 3 IFAF PBP 20.54 3 13 LMS PBP 19.36 RD ABP 3 21.63 1 1 1 1 1 1 1 Switch Backplate Keyboard KeysPressed RD NBP 1 19.38 EC NBP 1 20.81 FAF NBP 22.78 LMS NBP 21.8 RD PBP 1 20.69 EC PBP 1 20.96 FAF PBP 20.92 LMS PBP 22.11 RD ABP 1 20.4 EC ABP 1 18.72 FAF ABP 20.14 LMS ABP 21.6 RD SBP 1 28.84 EC SBP 30.28 FAF SBP 1 29.38 LMS SBP 1 30.77 RD NBP 2 20.26 EC NBP 2 20.46 FAF NBP 2 21.05 LMS NBP 2 22.01 RD |PBP 2 20.76 EC PBP 2 20.59 FAF PBP 2 19.5 LMS PBP 2 21.42 RD ABP 2 21.52 EC ABP 2 18.25 FAF ABP 2 22.07 LMS | 2 22.13 RD SBP 2 30.22 EC SBP 2 27.87 FAF SBP 2 30.66 LMS SBP 2 30.16 RD NBP 3 21.15 EC NBP 3 24.11 FAF NBP 3 21.06 LMS NBP 3 21.86 RD |PBP 3 21.63 EC PBP 3 19.5 FAF PBP 3 20.54 LMS PBP 3 19.36 RD ABP 3 21.63 EC ABP 3 19.55 FAF 3 20.03 LMS | 3 19.52 RD SBP 3 28.86 EC SBP 3 30.38 FAF SBP 3 29.92 LMS SBP 3 29.56 A keyboard manufacturer is assessing the durability of keyboard designs for it's new line of gaming keyboards, the RGB Proking Deluxe (Over 16 trillion colours and 32 different lighting effects!). They are testing out 4 different keyswitch options, rubber dome (RD), electro-capacitive (EC), foam and foil (FAF) and linear mechanical red switches (LMS) along with 4 different backplate options, no backplate (NBP), plastic backplate (PBP), aluminum backplate (ABP) and steel backplate (SBP). Three prototype keyboards of each pair of options were built and tested using typing robots which pressed the keys until failure. The number of keys pressed until failure on each unit were recorded (in millions) and are given below in the following csv file. The company is assuming there is no interaction between backplate and keyswitch type. If you can't use the csv download button for whatever reason, the data is given at the bottom of this page. Use R to anwser the following questions and fill in the two way ANOVA table. Download csv Source DF SSMS Switch Type Backplate Error Total What is the grand mean of the data? [1 pt(s)] Submit Answer Tries 0/3 Suppose you want to find the cell means for the backplates. Assuming you've read the keyboard data into the variable keydat, and you want to put the means into a variable called bpmeans which of the following R lines would do that? Incorrect bpmeans 0.25 (1 pt(s)] Incorrect. Tries 1/1 Previous Tries Calculate the F statistic for backplate type [1 pt(s)] Tries 0/3 Submit Answer Calculate SSE [1 pt(s)] Submit Answer Tries 0/3 Calculate the Mean Squared for the switch type [1 pt(s)] Submit Answer Tries 0/3 Calculate the Mean Squared for the backplate type [1 pt(s) Submit Answer Tries 0/3 Calculate MSE [1 pt(s)] Submit Answer Tries 0/3 Calculate the F statistic for switch type (1 pt(s)] Submit Answer Tries 0/3 Pick the interval the p value lies in O p-value 0.25 (1 pt(s)] Incorrect. Tries 1/1 Previous Tries Calculate the F statistic for backplate type [1 pt(s)] Tries 0/3 Submit Answer Pick the interval the p value lies in O p-value 0.25 [1 pt(s)] Submit Answer Tries 0/1 Suppose now that backplate is no longer considered a factor and switch type is the only factor with 12 replicates. Compute the values needed to fill in the blanks. Source DF SSMSF Switch Type Error Total Compute the value of the Error degrees of freedom [1 pt(s)] Tries 0/1 Submit Answer Compute the Error sum of squares [1 pt(s)] Submit Answer Tries 0/3 Calculate the value of MSE [1 pt(s)] Submit Answer Tries 0/3 Compute the factor (switch type) F-statistic [1 pt(s)] Submit Answer Tries 0/3 Pick the interval the p value lies in O p-value 0.25 (1 pt(s)] Switch Backplate Keyboard KeysPressed RD NBP 1 19.38 EC NBP 1 20.81 FAF INBP 1 22.78 LMS NBP 1 21.8 RD PBP 20.69 EC PBP 1 20.96 1 FAF PBP 1 20.92 LMS PBP 1 22.11 RD | 1 20.4 EC ABP 1 18.72 FAF ABP 1 20.14 LMS ABP 1 21.6 RD SBP 1 28.84 EC 1 SBP SBP FAF 1 30.28 29.38 30.77 LMS 1 RD | 2 SBP NBP NBP NBP 20.26 20.46 EC 2 FAF |2 21.05 LMS NBP 22.01 12 12 RD PBP 20.76 20.59 EC PBP 2 FAF PBP 2 19.5 LMS PBP 2 21.42 RD ABP 2 21.52 EC ABP 18.25 2 12 FAF ABP 22.07 LMS ABP 2 22.13 RD SBP 2 30.22 EC SBP 2 27.87 30.66 IFAF SBP 2 LMS SBP 2 30.16 RD INBP 3 21.15 24.11 EC 3 NBP NBP FAF 3 21.06 21.86 LMS NBP 3 RD PBP 3 21.63 19.5 EC PBP 3 IFAF PBP 20.54 3 13 LMS PBP 19.36 RD ABP 3 21.63 1 1 1 1 1 1 1 Switch Backplate Keyboard KeysPressed RD NBP 1 19.38 EC NBP 1 20.81 FAF NBP 22.78 LMS NBP 21.8 RD PBP 1 20.69 EC PBP 1 20.96 FAF PBP 20.92 LMS PBP 22.11 RD ABP 1 20.4 EC ABP 1 18.72 FAF ABP 20.14 LMS ABP 21.6 RD SBP 1 28.84 EC SBP 30.28 FAF SBP 1 29.38 LMS SBP 1 30.77 RD NBP 2 20.26 EC NBP 2 20.46 FAF NBP 2 21.05 LMS NBP 2 22.01 RD |PBP 2 20.76 EC PBP 2 20.59 FAF PBP 2 19.5 LMS PBP 2 21.42 RD ABP 2 21.52 EC ABP 2 18.25 FAF ABP 2 22.07 LMS | 2 22.13 RD SBP 2 30.22 EC SBP 2 27.87 FAF SBP 2 30.66 LMS SBP 2 30.16 RD NBP 3 21.15 EC NBP 3 24.11 FAF NBP 3 21.06 LMS NBP 3 21.86 RD |PBP 3 21.63 EC PBP 3 19.5 FAF PBP 3 20.54 LMS PBP 3 19.36 RD ABP 3 21.63 EC ABP 3 19.55 FAF 3 20.03 LMS | 3 19.52 RD SBP 3 28.86 EC SBP 3 30.38 FAF SBP 3 29.92 LMS SBP 3 29.56