Statistics 501 Methods of Applies Statistics Using MINITAB

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Transcript Statistics 501 Methods of Applies Statistics Using MINITAB

Statistics 501
Methods of Applies Statistics
Using MINITAB
Fall 2012
TuTh 11:15AM-12:30PM Rm219
Professor H. K. Hsieh (“Shay”)
www.math.umass.edu/hsieh/stat501
Course Information
• Instructor: Professor H. K. Hsieh (“Shay”)
• Contact Information: LGRT 1444, (O) 5451796; (Cell) 548-0798
• Email: [email protected]
• Texbook: Introduction to probability &
Statistics, by Mendenhall, Beaver &
Beaver, 13th edition, Brooks/Cole, 2009.
MINITAB Statistical Software
• MINITAB software is available on most university
public computers (e.g., in Tower Library
basement). Minitab-16 is the latest version.
• Minitab-16 is the latest version.
• You can download to rent for 1 year ($29.99) or
purchase it perpetually ($99.99) (if you want to
use for your research work)
• through www.onthehub.com/minitab/
• Free-trial is only for 30 days, and cannot be
renewed on the same computer.
Requirements
• Qualification: junior, senior or graduate students
with logical thinking ability. Motivation to learn
statistics is essential.
• As the teaching is intensive, students are
expected to attend all lectures if possible.
• HW 30%, Test I 20%, Test II 20%, Final Exam
30%. Grade: A(95-100), A-(90-94), B+(86-89),
B(81-85), B-(78-80), C+(75-77), C(71-74),
C-(66-70), D+(61-65), D(56-60), F(0-55)
Syllabus
• Statistical analysis using MINITAB with
emphasises on identifying questions to be
answered,
• how to use MINITAB and interpret computer
outputs: Exploratory data analysis • population, sample, frequency distribution,
empirical distribution, dot plots, stem and leaf
• plots, histogram, quantiles, interquartile range,
box plots, sample mean, sample variance;
• Bivariate/multivariate Data - side-by-side box
plots, scatter plots; matrix scatter plots;
• Probability concepts -- sample space, events
and their probabilities, random sampling
• Random variables and their distributions,
• Expected value and variance of a random
variable
• (discrete or continuous), binomial, hypergeometric, and normal distributions
• Sampling distribution -- random samples,
statistic, sampling error
• Sampling distribution of mean and proportion
• Law of large numbers, Central limit theorem
Statistical Inference
• Estimation of parameters – point
estimation and interval estimation for
means and proportions
• Hypothesis testing for means and
proportions -- one-sided, two-sided tests
• one-sample t, two-sample t, paired t
• Testing equality of variances;
Regression Analysis
• Simple and multiple regression analysis
• Correlation, least squares principles
• Confidence interval for coefficients, mean
response, single response
• Logistic regression
• Principal components analysis
• Time series modeling
Analysis of variance
• Testing equality of two or more population
means, multiple comparisons
• Two-factor ANOVA –
testing for interactions,
comparing means when interactions exist,
and when interactions do not exist
• Design by blocks
Analysis of categorical data
• Contingency tables
multinomial experiments,
chi-square goodness-of-fit test
• Tests based on ranks
Wilcoxon rank-sum test,
Wilcoxon signed rank test
• Correlation based on ranks.
Home work sets
• Write or type on 8x11 size paper
• Write “Stat501” and your name on top of 1st
page, and write and explain solutions according
to problem number sequence
• Referring your answers to computer outputs
attached to the end of homework.
• Computer output must be attached if computer is
used for computation, otherwise no points will be
creidted.
• Staple up the papers.
• Homework is expected to be turned in in
time;
• 20% off if turned in the 2nd day, 50% off if
turned in 3rd day, and no point afterwards.