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Part A (Introduction): a) Write an introduction: • Explain the problem in general (e.g., vitamin D deficiency and recommended vitamin D level). Support your opinion with at least one reference (Harvard referencing), and Introduce all 5 variables: country (add frequency table), sun exposure (add frequency table), gender (add frequency table), age (add summary statistics vs. country, sun exposure and gender), and vitamin D level (add summary statistics vs. country, sun exposure and gender). Plot a histogram with a superimposed normal curve for both age and vitamin D level and describe your findings. Convert age to a categorical variable (call it NewAge) with 2 levels (<40= "1", ≥ 40 "11")

Part A (Introduction): a) Write an introduction: • Explain the problem in general (e.g., vitamin D deficiency and recommended vitamin D level). Support your opinion with at least one reference (Harvard referencing), and Introduce all 5 variables: country (add frequency table), sun exposure (add frequency table), gender (add frequency table), age (add summary statistics vs. country, sun exposure and gender), and vitamin D level (add summary statistics vs. country, sun exposure and gender). Plot a histogram with a superimposed normal curve for both age and vitamin D level and describe your findings. Convert age to a categorical variable (call it NewAge) with 2 levels (<40= "1", ≥ 40 "11")

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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Part A (Introduction): a) Write an introduction: • Explain the problem in general (e.g., vitamin D deficiency and recommended vitamin D level). Support your opinion with at least one reference (Harvard referencing), and Introduce all 5 variables: country (add frequency table), sun exposure (add frequency table), gender (add frequency table), age (add summary statistics vs. country, sun exposure and gender), and vitamin D level (add summary statistics vs. country, sun exposure and gender). Plot a histogram with a superimposed normal curve for both age and vitamin D level and describe your findings. Convert age to a categorical variable (call it NewAge) with 2 levels (<40 = "1", ≥ 40 "11")
Transcribed Image Text:Part A (Introduction): a) Write an introduction: • Explain the problem in general (e.g., vitamin D deficiency and recommended vitamin D level). Support your opinion with at least one reference (Harvard referencing), and Introduce all 5 variables: country (add frequency table), sun exposure (add frequency table), gender (add frequency table), age (add summary statistics vs. country, sun exposure and gender), and vitamin D level (add summary statistics vs. country, sun exposure and gender). Plot a histogram with a superimposed normal curve for both age and vitamin D level and describe your findings. Convert age to a categorical variable (call it NewAge) with 2 levels (<40 = "1", ≥ 40 "11")
Country A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Gender Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Sun_Exposure Low Low Low Low Low Low Low Low Low Low Low Low Low Low Low Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate High High High High High High High ********** High High High High High High High High Low [[[[[[[[[ Low Low Low Low Low Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate High High High High High High High ********* High High High High High High High High Age 37 31 33 38 37 36 32 36 32 37 39 33 32 38 37 34 22 38 38 38 33 37 39 38 38 37 21 38 39 30 38 39 23 37 35 34 37 30 37 39 36 37 37 38 29 52 47 46 45 47 47 46 41 42 47 51 47 49 35 51 49 47 46 41 47 49 43 48 47 49 45 49 49 40 47 45 49 45 47 47 41 44 51 34 47 49 46 47 46 45 Vitamin_D_Level 45 40 39 42 38 38 39 37 44 38 43 36 41 44 34 48 57 38 45 37 60 40 42 42 44 39 38 39 45 47 55 59 46 55 51 49 51 62 55 53 53 66 53 51 57 53 47 57 47 51 49 53 55 45 48 51 48 46 51 45 45 58 48 55 52 44 48 48 48 62 52 52 55 65 55 62 65 52 57 62 60 62 64 63 63 63 62 61 67 75
Transcribed Image Text:Country A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Gender Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Sun_Exposure Low Low Low Low Low Low Low Low Low Low Low Low Low Low Low Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate High High High High High High High ********** High High High High High High High High Low [[[[[[[[[ Low Low Low Low Low Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate High High High High High High High ********* High High High High High High High High Age 37 31 33 38 37 36 32 36 32 37 39 33 32 38 37 34 22 38 38 38 33 37 39 38 38 37 21 38 39 30 38 39 23 37 35 34 37 30 37 39 36 37 37 38 29 52 47 46 45 47 47 46 41 42 47 51 47 49 35 51 49 47 46 41 47 49 43 48 47 49 45 49 49 40 47 45 49 45 47 47 41 44 51 34 47 49 46 47 46 45 Vitamin_D_Level 45 40 39 42 38 38 39 37 44 38 43 36 41 44 34 48 57 38 45 37 60 40 42 42 44 39 38 39 45 47 55 59 46 55 51 49 51 62 55 53 53 66 53 51 57 53 47 57 47 51 49 53 55 45 48 51 48 46 51 45 45 58 48 55 52 44 48 48 48 62 52 52 55 65 55 62 65 52 57 62 60 62 64 63 63 63 62 61 67 75
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Follow-up Question

The r code for side by side boxplot of vitamind v newage and vitamin d v country.

Scatterplot code for relationship between vitamin d level and age. 

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Follow-up Question
Part B (Methodology): In your methodology section, introduce the following three analyses with assumptions and models. The response variable for all models will be vitamin D level. • Factorial ANOVA - two factors: "Sun_Exposure", "Gender" Blocking (randomised design) - two fixed factors: "Sun_Exposure", "Gender" and one random factor: "Country" ANCOVA - two factors: "Sun_Exposure", "Gender" and continuous variable: "Age". Based on your findings in Part A, explain why we expect to get similar results for these factorial ANOVA and ANCOVA tests.
Transcribed Image Text:Part B (Methodology): In your methodology section, introduce the following three analyses with assumptions and models. The response variable for all models will be vitamin D level. • Factorial ANOVA - two factors: "Sun_Exposure", "Gender" Blocking (randomised design) - two fixed factors: "Sun_Exposure", "Gender" and one random factor: "Country" ANCOVA - two factors: "Sun_Exposure", "Gender" and continuous variable: "Age". Based on your findings in Part A, explain why we expect to get similar results for these factorial ANOVA and ANCOVA tests.
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Follow-up Question
Part B (Methodology): In your methodology section, introduce the following three analyses with assumptions and models. The response variable for all models will be vitamin D level. Factorial ANOVA - two factors: "Sun_Exposure", "Gender" Blocking (randomised design) - two fixed factors: "Sun_Exposure", "Gender" and one random factor: "Country" • ANCOVA - two factors: "Sun_Exposure", "Gender" and continuous variable: "Age". Based on your findings in Part A, explain why we expect to get similar results for these factorial ANOVA and ANCOVA tests.
Transcribed Image Text:Part B (Methodology): In your methodology section, introduce the following three analyses with assumptions and models. The response variable for all models will be vitamin D level. Factorial ANOVA - two factors: "Sun_Exposure", "Gender" Blocking (randomised design) - two fixed factors: "Sun_Exposure", "Gender" and one random factor: "Country" • ANCOVA - two factors: "Sun_Exposure", "Gender" and continuous variable: "Age". Based on your findings in Part A, explain why we expect to get similar results for these factorial ANOVA and ANCOVA tests.
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Follow-up Question
Create a side-by-side boxplot for vitamin D level vs. NewAge and a side- by-side boxplot for vitamin D level vs. country. Create a scatterplot to show the relationship between vitamin D level and Age. Compare these two side-by-side boxplots and the scatterplot and explain your findings. • Note: Write appropriate captions for the tables, graphs, and outputs.
Transcribed Image Text:Create a side-by-side boxplot for vitamin D level vs. NewAge and a side- by-side boxplot for vitamin D level vs. country. Create a scatterplot to show the relationship between vitamin D level and Age. Compare these two side-by-side boxplots and the scatterplot and explain your findings. • Note: Write appropriate captions for the tables, graphs, and outputs.
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Follow-up Question
Part A (Introduction): a) Write an introduction: • Explain the problem in general (e.g., vitamin D deficiency and recommended vitamin D level). Support your opinion with at least one reference (Harvard referencing), and Introduce all 5 variables: country (add frequency table), sun exposure (add frequency table), gender (add frequency table), age (add summary statistics vs. country, sun exposure and gender), and vitamin D level (add summary statistics vs. country, sun exposure and gender). Plot a histogram with a superimposed normal curve for both age and vitamin D level and describe your findings. Convert age to a categorical variable (call it NewAge) with 2 levels (<40 = "1", ≥ 40 "11") Create a side-by-side boxplot for vitamin D level vs. NewAge and a side- by-side boxplot for vitamin D level vs. country. Create a scatterplot to show the relationship between vitamin D level and Age. Compare these two side-by-side boxplots and the scatterplot and explain your findings. • Note: Write appropriate captions for the tables, graphs, and outputs. Part B (Methodology): In your methodology section, introduce the following three analyses with assumptions and models. The response variable for all models will be vitamin D level. • Factorial ANOVA - two factors: "Sun_Exposure", "Gender" • Blocking (randomised design) - two fixed factors: "Sun_Exposure", "Gender" and one random factor: "Country" • ANCOVA - two factors: "Sun_Exposure", "Gender" and continuous variable: "Age". Based on your findings in Part A, explain why we expect to get similar results for these factorial ANOVA and ANCOVA tests.
Transcribed Image Text:Part A (Introduction): a) Write an introduction: • Explain the problem in general (e.g., vitamin D deficiency and recommended vitamin D level). Support your opinion with at least one reference (Harvard referencing), and Introduce all 5 variables: country (add frequency table), sun exposure (add frequency table), gender (add frequency table), age (add summary statistics vs. country, sun exposure and gender), and vitamin D level (add summary statistics vs. country, sun exposure and gender). Plot a histogram with a superimposed normal curve for both age and vitamin D level and describe your findings. Convert age to a categorical variable (call it NewAge) with 2 levels (<40 = "1", ≥ 40 "11") Create a side-by-side boxplot for vitamin D level vs. NewAge and a side- by-side boxplot for vitamin D level vs. country. Create a scatterplot to show the relationship between vitamin D level and Age. Compare these two side-by-side boxplots and the scatterplot and explain your findings. • Note: Write appropriate captions for the tables, graphs, and outputs. Part B (Methodology): In your methodology section, introduce the following three analyses with assumptions and models. The response variable for all models will be vitamin D level. • Factorial ANOVA - two factors: "Sun_Exposure", "Gender" • Blocking (randomised design) - two fixed factors: "Sun_Exposure", "Gender" and one random factor: "Country" • ANCOVA - two factors: "Sun_Exposure", "Gender" and continuous variable: "Age". Based on your findings in Part A, explain why we expect to get similar results for these factorial ANOVA and ANCOVA tests.
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Follow-up Question
Country A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B Gender Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Sun_Exposure Low Low Low Low Low Low Low Low Low Low Low Low Low Low Low Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate High High High High High High High ********** High High High High High High Hight High Low Low Low Low Low Low Low Low Low Low Low Low Low Low Low Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate High Hight High High High High High High ******** High High High High High High High Age 37 31 33 38 37 36 32 36 32 37 39 33 32 38 37 34 22 38 38 38 33 37 39 38 38 37 21 38 39 30 38 39 23 37 35 34 37 30 37 39 36 37 37 38 29 52 47 46 45 47 47 46 41 42 47 51 47 49 35 51 49 47 46 41 47 49 43 48 47 49 45 49 49 40 47 45 49 45 47 47 41 44 51 34 47 49 46 47 46 45 Vitamin_D_Level 45 40 39 42 38 38 39 37 44 38 43 36 41 44 34 48 57 38 45 37 60 40 42 42 44 39 38 39 45 47 55 59 46 55 51 ឧ៤៩៦ ឌ__៖ ឌ ភក្ត 49 51 62 55 53 53 66 53 51 57 53 47 57 47 51 49 53 55 45 48 51 48 46 51 45 45 58 48 55 52 44 48 48 48 62 52 52 55 65 55 62 65 52 57 62 60 62 64 63 63 63 62 61 67 75
Transcribed Image Text:Country A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B Gender Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Male Male Male Male Male Female Female Female Female Female Other Other Other Other Other Sun_Exposure Low Low Low Low Low Low Low Low Low Low Low Low Low Low Low Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate High High High High High High High ********** High High High High High High Hight High Low Low Low Low Low Low Low Low Low Low Low Low Low Low Low Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate Moderate High Hight High High High High High High ******** High High High High High High High Age 37 31 33 38 37 36 32 36 32 37 39 33 32 38 37 34 22 38 38 38 33 37 39 38 38 37 21 38 39 30 38 39 23 37 35 34 37 30 37 39 36 37 37 38 29 52 47 46 45 47 47 46 41 42 47 51 47 49 35 51 49 47 46 41 47 49 43 48 47 49 45 49 49 40 47 45 49 45 47 47 41 44 51 34 47 49 46 47 46 45 Vitamin_D_Level 45 40 39 42 38 38 39 37 44 38 43 36 41 44 34 48 57 38 45 37 60 40 42 42 44 39 38 39 45 47 55 59 46 55 51 ឧ៤៩៦ ឌ__៖ ឌ ភក្ត 49 51 62 55 53 53 66 53 51 57 53 47 57 47 51 49 53 55 45 48 51 48 46 51 45 45 58 48 55 52 44 48 48 48 62 52 52 55 65 55 62 65 52 57 62 60 62 64 63 63 63 62 61 67 75
Part A (Introduction): a) Write an introduction: . Explain the problem in general (e.g., vitamin D deficiency and recommended vitamin D level). Support your opinion with at least one reference (Harvard referencing), and • Introduce all 5 variables: country (add frequency table), sun exposure (add frequency table), gender (add frequency table), age (add summary statistics vs. country, sun exposure and gender), and vitamin D level (add summary statistics vs. country, sun exposure and gender). Plot a histogram with a superimposed normal curve for both age and vitamin D level and describe your findings. Convert age to a categorical variable (call it NewAge) with 2 levels (<40= "1", ≥ 40 "11") Create a side-by-side boxplot for vitamin D level vs. NewAge and a side- by-side boxplot for vitamin D level vs. country. Create a scatterplot to show the relationship between vitamin D level and Age. Compare these two side-by-side boxplots and the scatterplot and explain your findings. Note: Write appropriate captions for the tables, graphs, and outputs.
Transcribed Image Text:Part A (Introduction): a) Write an introduction: . Explain the problem in general (e.g., vitamin D deficiency and recommended vitamin D level). Support your opinion with at least one reference (Harvard referencing), and • Introduce all 5 variables: country (add frequency table), sun exposure (add frequency table), gender (add frequency table), age (add summary statistics vs. country, sun exposure and gender), and vitamin D level (add summary statistics vs. country, sun exposure and gender). Plot a histogram with a superimposed normal curve for both age and vitamin D level and describe your findings. Convert age to a categorical variable (call it NewAge) with 2 levels (<40= "1", ≥ 40 "11") Create a side-by-side boxplot for vitamin D level vs. NewAge and a side- by-side boxplot for vitamin D level vs. country. Create a scatterplot to show the relationship between vitamin D level and Age. Compare these two side-by-side boxplots and the scatterplot and explain your findings. Note: Write appropriate captions for the tables, graphs, and outputs.
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