STAT 401, FALL 2010                               Eric Slud

Coverage, Topics and Problem Types for In-Class Test 2
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Coverage for Test 2 includes all material covered in class 
and HW since Test 1.  In the book, this covers :

Section 4.6 (probability plots)
     including in-class and handout material on definitions 
     and interpretation of QQplots and empirical distribution 
     functions, and Weibull probability plots.

Section 9.5: F tests for ratios of variances based on 
     two-sample normal data.

Definitions of sample quantiles and boxplots, as covered in 
     class (and you can also find the boxplot definitions on 
     pp.35-38 in the text.)

Sections 10.1-10.2: one way analysis of variance, including
     definitions of Total (or Corrected) Sum of Squares, 
     Sum of Squares Between groups (SSB or SSTr),
     Sum of Squares Within groups (SSW or SSE),
     F test statistic for equality of group means,
     Tukey's studentized range statistic,
     ANOVA Table.

Sections 12.1-12.2: simple linear regression, finding 
     relationships in scatter-plots and definitions of 
     least-squares equations for intercept and slope 
     coefficients, plus definition of residuals and 
     coefficient of determination.

Sections 14.1-14.2: goodness of fit tests based on multinomial 
     data, with or without estimated parameters, including
     definition of chi-squared goodness of fit test, and
     degrees of freedom depending on number of estimated 
     parameters.

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Main problem types you could be asked on test:

DEFINITIONS: boxplots, empirical distribution function, 
     F_{n,m} distribution, Tukey studentized range statistic 
     and distribution, coefficient of determination in simple 
     linear regression.

BASIC CALCULATIONS: sample quantiles, calculation of chi-squared 
     statistic or simple linear regression coefficients, 
     filling in an ANOVA table based on given sample means and 
     variances for groups.

INTERPRETATIONS: ANOVA table, QQplot.

Hypothesis tests and CI's: for ratios of variances in 2-sample 
    normal data, test of fit of multinomial to specified vector 
    of probabilities; test of fit to a distribution like normal
    to data grouped into class intervals; finding equivalent 
    "Tukey" groups in a one-way ANOVA layout.

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Rules for the Test, to be held in-class Wednesday, Dec. 1,
 will be the same as for the previous test:
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One 8.5" x 11" notebook-page cheat-sheet allowed, 
    otherwise closed-book.

You should bring a calculator.

Most problems will require numerical expressions as answers, NOT 
    reduced arithmetic answers but also NOT formulas with 
    unevaluated symbols.