Date last modified:
2/18/08
Lecture Materials & Other Documents for STAT 541
Applied Statistics for Engineers and Scientists
  
The following lecture materials are available as Portable Document Format files (click on " PDF "). Please read the information contained in my Getting Started Page and in my page on Document Information before you download these files. In addition, you can view the lecture slides via you web browser by clicking on the "HTML" link. However, this is not a downloadable file.
You may jump directly to Lectures 1 through 25:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25
 Get Real Player Basic.


  • Lecture 01 General introduction to the Course and the NCSS Package

    Guidelines for completing your homework assignments and computer projects (included in the Lecture 01 pdf file).

    Microsoft's Excel will not be suitable software for doing statistical analysis. See Jonathan Cryer's image that illustrates this. There are many web sites that highlight the deficiencies of Excel when it comes to doing serious statistical computing.

    The following links are to NCSS template files for Histograms used in lecture No. 1. These files are basically ASCII files that can be transfered over the internet, but are not the usual text files; nor are they Word files or WordPerfect files. You should download them into the "Settings" directory under the NCSS97 directory (which is usually under "Program Files").

  • Template file for the 3D Scatter Plot of the earthquakes below Mt. St. Helen.
    Template # 1
  • Template file for a histogram of the depths of the earthquakes below Mt. St. Helen.
    Template # 2
  • Template file for a histogram of the longitude measurements of the earthquakes below Mt. St. Helen.
    Template # 3
  • Template file for a histogram of the latitude measurements of the earthquakes below Mt. St. Helen.
    Template # 4
 
  • Lecture 02 Probability, Additive Law of Probability, Multiplicative Law of Probability, Conditional Probability, Mutually Exclusive Events & Independent Events: Notes & Sections 1.1, 1.2, 1.3, 1.4 & 1.5
  • Lecture 03 Random Variables, Intro. to Discrete Distributions, Cumulative Distribution Functions, Expectations, Bernoulli Trials, & Intro. to the Binomial Distribution: Notes & Sections 2.1, 2.3.1, 2.4 & 3.1 (Read section 3.3 - we will not discuss it here, but you will need the hypergeometric distribution later - Lecture 24)
  • Lecture 04 The Binomial Distribution (continued), The Poisson Distribution, NCSS's Probability Calculator, and Introduction to Continuous Random Variables: Notes & Sections 3.1, 3.4, 2.2, 4.1 & 4.2

    An annotated copy of the NCSS Probability Calculator Window for the Binomial Distribution (calculating exact values, cumulative probabilities, and upper tail probabilites) is available here: PDF

    An annotated copy of the NCSS Probability Calculator Window for the Poisson Distribution (calculating exact values, cumulative probabilities, and upper tail probabilites) is available here: PDF

    Table of the Cumulative Binomial Distribution and the Cumulative Poisson Distribution can be obtained from this link.

  • Lecture 05 Continuous Distributions (continued), Percentiles, Mathematical Expectation for Continuous Distributions, Intro. to the Normal Distribution: Notes & Sections 2.3.2, 2.4 & 5.1

    An annotated copy of the NCSS Probability Calculator Window for the Normal Distribution (calculating Z-values, cumulative probabilities, and upper tail probabilites) is available here: PDF

    There is also a similar version showing how to calculate the percentage points for the normal distributon: PDF
  • Lecture 06 The Normal Distribution (continued), Checking for Normality, Nature of Statisticl Inference, Population and Samples, and Random Sampling: Notes & Section 5.1, 5.2 & 6.1

    The table of random digits that I used during the lecture PDF (This document is included in the Lecture02 pdf file.)

    Template file for a histogram for Michelson & Newcomb's speed of light data.
    Speed of Light Template

    Census Track Block for Cedar Rapids, IA (included in the Lecture 06 pdf file).

  • Lecture 07 Data Characteristics, Descriptive Statistics, Dot Plots, Pareto Charts, Bar Charts: Notes & Sections 6.2
    • PDF (three per page) or PDF (six per page)
    • Lectures via video streamin

      A document discussing the scales of measurement for variables (nominal, ordinal, interval, and ratio) PDF (This document is included in the Lecture 06 pdf file.)

      Template file for the Pareto diagram that I used for the Lens Coating data.
      Pareto Template Also here is a pdf document to show how to enter the data into NCSS - PDF
  • Lecture 08 Histograms, Stem-and-Leaf Plots, Numerical Descriptive Measures of Location: Notes & Sections 6.2 & 6.3

    The following links are to NCSS template files for Histograms used in lecture No. 3. These files are basically ASCII files that can be transfered over the internet, but are not the usual text files; nor are they Word files or WordPerfect files. You should download them into the "Settings" directory under the NCSS2007 directory (which is usually under "Program Files").

      • Template file for a histogram of the compresive strength of concrete blocks data; note the use of 28.001 for the minimum cell boundary and 68.001 for the maximum cell boundary, under the "Histogram" tab. This insures that the intervals are closed on the right and open on the left.
        Template # 1
      • Template file for a histogram plus a frequency polygon for the compresive strength of concrete data.
        Template # 2
      • Template file for a frequency polygon only for the compresive strength of concrete data.
        Template # 3
      • Template file for a cumulative histogram for the compresive strength of concrete data.
        Template # 4
      • Template file for a cumulative histogram plus an ogive curve for the compresive strength of concrete data.
        Template # 5
      • Template file for an ogive curve for the compresive strength of concrete data.
        Template # 6
      • Template file for a histogram for the growing season data.
        Template # 7
      • Template file for a histogram for the thunderstorm data.
        Template # 8
      • Template file for a histogram for Michelson & Newcomb's speed of light data.
        Template # 9
  • Lecture 09 Numerical Descriptive Measures of Variation, Measures of Relative Standing, Box-and-Whisker Plots: Notes & Section 6.3
  • Lecture 10 Quantile-Quantile Plots, Functions of Several Random Variables, Statistics and Their Sampling Distributions, Distribution of the Sample Mean, Central Limit Theorem: Notes & Sections 7.1, 7.2, & 7.3

    I have prepared a short document on how to construct Quantile-Quantile Plots using NCSS - PDF.
    This is the Template file for NCSS that I used to construct the Q-Q Plot in this example - Template Q-Q.

    Link to the animated demonstrations of the sampling distribution of X-bar from normal populations. See figure 6.3-1
    This information is taken from the CD that accompanies the following textbook.
    Hogg, Robert V. and Tanis, Elliot A. (2001). Probability and Statistical Inference, Prentice Hall:Upper Saddle River, NJ.
  • Lecture 11 Central Limit Theorem (continued), Large Sample Theory Confidence Intervals for the Mean (With Known Variance), & Confidence Intervals in General: Notes & Sections 7.3, 8.1 & 5.3

    Link to the animated demonstrations of the Central Limit Theorem. See figures 6.4-1, 6.4-3, 6.4-4, 6.5-2, & 6.5-3
    This information is taken from the CD that accompanies the following textbook.
    Hogg, Robert V. and Tanis, Elliot A. (2001). Probability and Statistical Inference, Prentice Hall:Upper Saddle River, NJ.

    Here are some True/False questions about the interpretations of confidence intervals. If you would like the answers to these questions, please request them via e-mail.

  • True/False Questions - Group # 1 PDF
  • True/False Questions - Group # 2 PDF
  • Lecture 12 Large Sample Confidence Intervals for Proportions, Confidence Intervals on Means with Unknown Variance, Intro. to the Chi-Square Distribution & Student's T Distribution, & Confidence Intervals for the mean using small samples: Notes & Sections 5.4 & 8.1

    Annotated copies of the NCSS Probability Calculator Window showing how to calculate the cumulative probabilities and percentage points for the chi-square distributon are available through the following links:

  • Chi-Square Distribution - cumulative probabilities PDF
  • Chi-Square Distribution - percentage points PDF

    Link to the animated demonstrations of the convergence of the chi-square to the normal. See figure 6.4-2.
    This information is taken from the CD that accompanies the following textbook.
    Hogg, Robert V. and Tanis, Elliot A. (2001). Probability and Statistical Inference, Prentice Hall:Upper Saddle River, NJ.

    Annotated copies of the NCSS Probability Calculator Window showing how to calculate cumulative probabilities, upper tail probabilities and percentage points for the Student's t distributon are available through the following links:

  • Student's T Distribution - cumulative probabilities PDF
  • Student's T Distribution - percentage points PDF

    Link to the animated demonstrations of the convergence ot the Student's t to the normal. See figure 6.6-1.
    This information is taken from the CD that accompanies the following textbook.
    Hogg, Robert V. and Tanis, Elliot A. (2001). Probability and Statistical Inference, Prentice Hall:Upper Saddle River, NJ.

    IS n=30 BIG ENOUGH? A discussion by Paul Velleman, Cornell University, concerning the use of the Central Limit Theorem and the general rule of thumb that n>=30 is large enough to use the standard normal distribution percentage points rather than the Student's t percentage points. PDF
  • Lecture 13 Tolerance Intervals for the Original Population, Prediction Intervals for a Future Value, Confidence Intervals for the Variance and Standard Deviation; Intro. to Tests of Hypotheses (using a Test for Proportions): Notes & Sections 10.1.1 & 8.2

    An abbreviated table for "Factors k for Two-Sided Tolerance Intervals for the Normal Distribution" PDF

  • Lecture 14 Tests of Hypotheses for Means When the Variance is Known and Unknown, Tests of Hypotheses using p-values: Notes & Sections 8.2 & 10.1.2
    • PDF (three per page) or PDF (six per page)
    • Lectures via video streaming

      "The Eight Steps" to a test of hypothesis. PDF
  • Lecture 15 Tests for Proportions, Tests for Variances (and Standard Deviations); Two Sample Problem; Comparison of Means for Large and Small Sample Sizes; Welch's Approximate T Test; Notes & Sections 9.1 & 9.3
    • PDF (three per page) or PDF (six per page)
    • Lectures via video streaming

      An annotated copy of the NCSS Probability Calculator Window for the following distributions are available throught the these inks.

      Welch Approximate T Distribution - cumulative probabilities, upper tail probabilities (p - values): PDF

      Welch Approximate T Distribution - calculating percentage points: PDF

      IS n=30 BIG ENOUGH? A discussion by Paul Velleman, Cornell University, concerning the use of the Central Limit Theorem and the general rule of thumb that n>=30 is large enough to use the standard normal distribution percentage points rather than the Student's t percentage points.PDF

  • Lecture 16 Paired T Test, Comparing Two Proporitons (Tests and Confidence Intervals), the F distribution, and Comparing Two Variances (or Standard Deviations) - Tests and Confidence Intervals: Notes & Sections 9.1, 9.2 & 10.2
    • PDF (three per page) or PDF (six per page)
    • Lectures via video streaming

      An annotated copy of the NCSS Probability Calculator Window for the following distributions are available throught the theselinks.

      F Distribution for calculating cumulative probabilities and upper tail probabilites (p - values) is available here: PDF

      F Distribution for calculating the percentage points is available here: PDF
  • Lecture 17 The One-Way ANOVA (the Completely Randomized Design - CRD or the Single Factor ANOVA), Multiple Comparisons: Notes & Sections 11.1
  • Lecture 18 Multiple Comparisons (continued); Methods of Displaying the Results of Multiple Comparisons; Use of NCSS to do One-Way ANOVA and Multiple Comparisons: Notes & Section 11.1
  • Lecture 19 Introduction to Simple Linear Regression; Estimation of the Parameters (Least Squares); Importance of Scatter Plots and Residual Plots: Notes & Sections 12.1 & 12.2
  • Lecture 20 Inferences in Simple Linear Regression; Inferences About the Parameters; Confidence Intervals on the Regression Function; Prediction Iintervals for Individual Observations: Notes & Sections 12.2, 12.3, 12.4, 12.5 & 12.6
  • Lecture 21 More Inferences for Regression Analysis; Use of Residuals, Introduction to Multicollinearity, Multiple Regression Analysis: Notes & Sections 12.7, 13.1 & 13.2
  • Lecture 22 More on Multiple Regression Analysis; Subset Selection: Notes & Section 13.4
  • Lecture 23 Chi-Square Tests for Goodness of Fit and Contingency Tables: Notes & Section 10.3
    • PDF (three per page) PDF (six per page)
    • Lectures via video streaming

    • Table of Contents of Science - 84 -- Articles in the magazine, Science 84, Vol 5, No. 9, November showing discoveries 1-12 of 20 that have shaped our lives.

      The following links are to the data set for the example used in this lecture (namely the Starting Salary vs Grade Point Average example) and to the NCSS template files for doing a chi-square analysis and the segmented bar graph on this example. The data set is a *.txt file that can be imported into NCSS; pleae note how the data is arranged in the rows and columns of the spreadsheet. The template files are basically ASCII files that can be transfered over the internet, but are not the usual text files; nor are they Word files or WordPerfect files. You should download them into the "Settings" directory under the NCSS97 directory (which is usually under "Program Files").
    • Data Set for the Starting Salary vs. Grade Point Average example gpa_starting$.txt. This is a link to a description of this example and data set arrangement.
    • Template file for doing a chi-square analysis (in NCSS, click on Analysis-Descriptive Statistics-Cross Tabulations) Template - Chi-square Analysis
    • Template file for constructing a segmented bar graph (a plot of the conditional probabilities within the levels of one factor: in NCSS click on Graphics-Bar Charts) Template - Segmented Bar Graph
  • Lecture 24 Goodness of Fit for Distributions, Quality Control Methods -Acceptance Sampling: Notes & Sections 10.4 & 16.5
    • PDF (three per page) PDF (six per page)
    • Lectures via video streaming

      An annotated copy of the NCSS Probability Calculator Window for the Hypergeometric Distribution for calculating exact probabilities, cumulative probabilities and upper tail probabilites is available here: PDF
  • Lecture 25 Ouality Control Methods - Shewhart Control Charts, Modified Shewhart Control Chjarts (WSR): Notes & Sections 16.1, 16.2 & 16.3
    • PDF (three per page) PDF (six per page)
    • Lectures via video streaming

      A table for "Factors for Determining the 3-sigma Control Chart Limits in X-Bar-Charts and R-Charts" PDF

      Template file for the Shewhart X_Bar-R chart using the piston ring data (data set number 31 on the "Data Sets" resources page). Template
 
 
 

James M. Davenport © 2008