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Statistics · Studypool

Empirical Methods for Industrial Engineering

Overview

  • You are expected to solve these problems using software.
    • For this assignment you are required to use: Excel (including the Analysis ToolPak), Jamovi, or Minitab.
    • Note that Minitab is the best/ most efficient software to use for DOE models!
  • In addition, you must provide a by-hand solution for the primary F tests in each model.
    • Note that this documentation will follow similar expectations to previous Devore/WebAssign assignments.
      • The purpose is to demonstrate that you understand how these computations work.
      • Short-hand notation is acceptable including demonstrating repetitive calculations only once.
    • Please contact me if you have any questions about the level of detail or scope of the by-hand solutions.

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Complete the following four problems from the Montgomery textbook:

Note that these problems are loosely structured and you are expected to complete a full analysis including evaluating model validity and reliability as well as identifying optimal conditions.

  • Ch. 6 Problems 6.12 & 6.22
  • Ch. 7 Problems 7.1 & 7.3

For the other editions of the textbook, the question numbers are listed below:

  • 9th ed. 6.12, 6.28, 7.1, 7.4
  • 8th ed. 6.8, 6.24, 7.1, 7.4 (the problems from Ch. 7 refer to Problem 6.1)

Submissions must include:

  1. Hand-written solutions to the primary F tests in each ANOVA model
    • Note you do not need to complete supporting analysis (e.g., Tukey/Fisher test, power analysis, etc.) by hand.
  2. Annotated software solutions for the entire problem
    • You may use Excel, Jamovi, or Minitab for this assignment - all other software must be approved by the instructor (contact via WebCourses for approval).
    • 'Annotated' refers to additional labeling and brief statements that provide explanations, reflection, etc. from the analysis.
      • Each question part must be clearly labeled.
      • Each question part must have at least one written statement that addresses the question asked (e.g., is the test significant?, etc.).
  3. A brief technical report summarizing the findings and directly answering the questions in each problem.
    • The report is limited to one page per problem
      • Results for each problem cannot exceed one page and each problem must begin on a separate page.
    • The report must provide a narrative (summary and discussion) of:
      • The approach that you chose (and why it is appropriate)
      • The results and conclusions
        • Note that you do not need to include all figures/tables in this report - this information should be stored in your results/output file.

          >>>>>>>>>(In a different Excel file, solve problems that are below)<<<<<<<<<

      • And for this one: You are expected to solve these problems using software ONLY! rather than solving by-hand.
      • For this assignment you are required to use: Excel (including the Analysis ToolPak), Jamovi, or Minitab.
        • 3.17
          • In addition to the stated objectives (a and b), also address the following:
            • (c) evaluate (and identify, if possible) the optimal condition
            • (d) evaluate the statistical power of this test
        • 4.11
          • In addition to the stated objectives (a, b and c), also address the following:
            • (d) evaluate the statistical power of this test
          • Note, you may use any multiple comparisons tool that is appropriate (Tukey, Games-Howell)
        • 5.12
          • Do not complete Part B (fit a model) - we will focus on this part of the modeling later in the semester!
          • In addition to the stated objectives (a and c), also address the following:
            • (d) evaluate (and identify, if possible) the optimal condition
            • (e) evaluate the statistical power of this test
        • For the other editions of the textbook, the question numbers are listed below:
            • 9th: 3.19, 4.12, 5.15
            • 8th: 3.15, 4.07, 5.10
        1. The data file and results/output for each problem (clearly labeled).
        2. A technical report (PDF) that:
          • Has no more than one page per problem
            • Results for each problem cannot exceed one page and each problem must begin on a separate page.
          • Provides a summary and discussion of:
            • The approach that you chose (and why it is appropriate)
            • The results and conclusions
              • Note that you do not need to include all figures/tables in this report - this information should be stored in your results/output file.
      • Complete the following problems from Montgomery Ch. 3-5:Submit the following:
    >>>>>>>(All problems that need to be solved are mentioned in the Word Doc I attached)<<<<<<<