Code for quiz 11
library(tidyverse)
library(moderndive) #install before loading
After you check all your code chunks run then you can knit it. It won’t knit until the ??? are replaced
The quiz assumes that you have watched the videos and worked through the examples in Chapter 7 of ModernDive
Question: 7.2.4 in Modern Dive with different sample sizes and repetitions
Make sure you have installed and loaded the tidyverse and the moderndive packages
Fill in the blanks
Put the command you use in the Rchunks in your Rmd file for this quiz.
Modify the code for comparing differnet sample sizes from the virtual bowl
Segment 1: sample size = 26
1.a) Take 1180 samples of size of 26 instead of 1000 replicates of size 25 from the bowl dataset. Assign the output to virtual_samples_26virtual_samples_26 <- bowl %>%
rep_sample_n(size = 26, reps = 1180)
1.b) Compute resulting 1180 replicates of proportion red
start with virtual_samples_26 THEN group_by replicate THEN create variable red equal to the sum of all the red balls create variable prop_red equal to variable red / 26 Assign the output to virtual_prop_red_261.c) Plot distribution of virtual_prop_red_26 via a histogram
use labs to
label x axis = “Proportion of 26 balls that were red” create title = “26”ggplot(virtual_prop_red_26, aes(x = prop_red)) +
geom_histogram(binwidth = 0.05, boundary = 0.4, color = "white") +
labs(x = "Proportion of red balls of 26 balls", title = "26")
Segment 2: sample size = 55
2.a) Take 1180 samples of size of 55 instead of 1000 replicates of size 50. Assign the output to virtual_samples_55virtual_samples_55 <- bowl %>%
rep_sample_n(size = 55, reps = 1180)
2.b) Compute resulting 1180 replicates of proportion red
start with virtual_samples_55 THEN group_by replicate THEN create variable red equal to the sum of all the red balls create variable prop_red equal to variable red / 55 Assign the output to virtual_prop_red_552.c) Plot distribution of virtual_prop_red_55 via a histogram
use labs to
label x axis = “Proportion of 55 balls that were red” create title = “55”ggplot(virtual_prop_red_55, aes(x = prop_red)) +
geom_histogram(binwidth = 0.05, boundary = 0.4, color = "white") +
labs(x = "Proportion of 55 balls that were red", title = "55")
Segment 3: sample size = 110
3.a) Take 1180 samples of size of 110 instead of 1000 replicates of size 50. Assign the output to virtual_samples_110virtual_samples_110 <- bowl %>%
rep_sample_n(size = 110, reps = 1180)
3.b) Compute resulting 1180 replicates of proportion red
start with virtual_samples_110 THEN group_by replicate THEN create variable red equal to the sum of all the red balls create variable prop_red equal to variable red / 110 Assign the output to virtual_prop_red_1103.c) Plot distribution of virtual_prop_red_SEE QUIZ via a histogram
use labs to
label x axis = “Proportion of 110 balls that were red” create title = “110”ggplot(virtual_prop_red_110, aes(x = prop_red)) +
geom_histogram(binwidth = 0.05, boundary = 0.4, color = "white") +
labs(x = "Proportion of 110 balls that were red", title = "110")
Calculate the standard deviations for your three sets of SEE QUIZ values of prop_red using the standard deviation
n = 26 n = 55 n = 110The distribution with sample size, n = 110, has the smallest standard deviation (spread) around the estimated proportion of red balls.