Resource Library

Statistical Topic

  1. Library Home
  2. Statistical Inference & Techniques
  3. Sampling Distributions
Advanced Search | Displaying 21 - 30 of 49

  • Song: Take Me Out to the Brew'ry

    A song to help with discussion of the history of William Sealy Gosset's (a.k.a. Student) result about the t-distribution for modeling standardized means.  The lyrics were written by Lawrence Mark Lesser from The University of Texas at El Paso in 2017 and may be sung to the tune of Jack Norworth and Albert Von Tizle's 1908  standard "Take Me Out to the Ballgame."

    View Resource

    0
    No votes yet

  • Analysis Tool: Empirical Cumulative Distribution

    This applet allows the user to enter data, then returns the values of empirical cumulative distribution function by sorting the data and reporting the height of the curve at each point. It does not show the graph.

    View Resource

    0
    No votes yet

  • Analysis Tool: Empirical Distributions

    This applet plots the survival function (1-F(t)) of the exponential distribution against the empirical survival function. The empirical survival function is one minus the empirical distribution function.

    View Resource

    0
    No votes yet

  • Data Collection: State Health Facts

    This site funded by the Kaiser Family Foundation provides information on health care and demographics for the 50 U.S. states. Users can use interactive maps or search by particular characteristics for each state. Tables can be created and copied and there is also direct data download (in Excel format) from this site. The site includes data on median income, gender, ethnicity, medical and drug spending, HIV/AIDS rates, and over 500 other variables at the state level

    View Resource

    0
    No votes yet

  • Simulating the Effect of Sample Size on the Sampling Distribution of the Mean

    This activity allows students to explore the relationship between sample size and the variability of the sampling distribution of the mean. Students use a Java applet to specify the shape of the "parent" distribution and two sample sizes. The simulation then samples from the parent distribution to approximate the sampling distributions for the two sample sizes. Students can see both sampling distributions at the same time making them easy to compare. The activity also allows students to determine the probability of extreme sample means for the different sample sizes so that they can discover that small sample sizes are much more likely than large samples to produce extreme values. Keywords: sampling distribution, sample size, simulation

    View Resource

    0
    No votes yet

  • Nature of the chi-square distribution

    In this activity, students learn the true nature of the chi-square and F distributions in lecture notes (PowerPoint file) and an Excel simulation. This leads to a discussion of the properties of the two distributions. Once the sum of squares aspect is understood, it is only a short logical step to explain why a sample variance has a chi-square distribution and a ratio of two variances has an F-distribution. In a subsequent activity, instances of when the chi-square and F-distributions are related to the normal or t-distributions (e.g. Chi-square = z2, F = t2) will be illustrated. Finally, the activity will conclude with a brief overview of important applications of chi-square and F distributions, such as goodness-of-fit tests and analysis of variance.

    View Resource

    0
    No votes yet

  • Immigration in the U.S.

    In this module you will explore some of the impacts of this immigration by examining the characteristics of the foreign-born population, comparing these characteristics to those of the native born population. You will get a chance to explore where immigrants come from, how the composition of the immigrant population has changed, where immigrants settle, and what they do once they get here. Most importantly, you will have the opportunity to test some key hypotheses drawn from the most popular theory used to explain the incorporation of immigrants into the American social and economic mainstream.

    View Resource

    0
    No votes yet

  • SurfStat Australia

    This website serves as an online textbook for introductory statistics, covering topics such as summarizing and presenting data, producing data, variation and probability, statistical inference, and control charts.

    View Resource

    0
    No votes yet

  • **Decision Bonsai

    The Decision Bonsai are a hybrid of concept maps and decision trees. They were originally developed to give introductory statistics students a map to inference procedures but have evolved to be used for other topics. The tree is 'grown' during the semester so that students build a picture of the relationships in their mind. Recent work is moving toward the development of more complete concept maps for introductory statistics, statistical quality methods and probability and stochastic processes courses. These Decision Bonsai would be then pointed to at appropriate points in the concept maps.

    View Resource

    0
    No votes yet

  • A Brief Overview of Switching Theory and Practice

    This powerpoint presentation from INFORMS Applied Probability Society provides a brief overview of switches, routers, input-queued crossbars, combined input- and output-queued switches, buffered crossbars, and algorithms for bandwidth partitioning, security, encryption, and deep packet inspection.

    View Resource

    0
    No votes yet

Pages