Todays Schedule
Notation
Summary Statistics for Quantitative Data
location
spread
17 April 2003
Biostatistics 6650-L2
1
Notation
Assume we have a random sample of observed data
values:
x1 , x2 ,.
Todays Schedule
Frequency Distributions
Graphical Summaries
Data Quality Control
18 April 2003
Biostatistics 6650-L3
1
Frequency Distributions
Provides a very useful tabular summary of
any type of
Todays Schedule
Probability
notation
laws
example
Screening test measures
sensitivity/specificity
positive(negative) predictive value
ROC curves
24 April 2003
Biostatistics 6650-L4
1
Probabili
Todays Schedule
Discrete random variables
Definition/examples
Probability distribution function
Cumulative distribution function
Population mean/variance
Permutations/Combinations
Binomial distribu
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Continuous random variables
Probability density function
Cumulative distribution function
Normal Distribution
Standard Normal Distribution
Calculating probabilities
Conversion
Todays Schedule
Estimation of the population mean
Central limit theorem
Interval estimation
Mean of continuous data
known
unknown(
2 May 2003
t-distn)
Binomial Proportion
Poisson
Sample size for C
22 May 2003
Biostatistics 6650-L8
1
Todays Schedule
Hypothesis Testing: one sample
general approach/procedure
example: one sample normal, known
P-values
Relationship between hypothesis testing an
30 May 2003
Biostatistics 6650-L10
1
Todays Schedule
Hypothesis Testing: Two Sample Tests
General approach
Two-sample t-test
Large sample Binomial
30 May 2003
Biostatistics 6650-L10
2
General Appr
30 May 2003
Biostatistics 6650-L11A
1
Todays Schedule
ANOVA
general/assumptions
example
30 May 2003
Biostatistics 6650-L11A
2
ANOVA: general
What if we want to compare means for more than
2 groups
05 June 2003
Biostatistics 6650-L11B
1
Todays Schedule
ANOVA
example
contrasts in means
Multiple Comparison Procedures
05 June 2003
general issue
solutions
example
controversy
Biostatistics 6650-L
19 June 2003
Biostatistics 6650-L13
1
Todays Schedule
Non-parametric Statistics(9.1-9.4)
Introduction
Sign test
Signed Rank test
Rank Sum test
Kruskal-Wallis test(12.7)
Summary
19 June 2003
Biostatis
Todays Schedule
Sample size and power for hypothesis
testing
Power, general
1-sample tests
Power
Sample size
2-sample tests
Power
Sample size
References/Software
Examples using Beyer and Coc
26 June 2003
Biostatistics 6650-L15
1
Todays Schedule
Association of continuous X with continuous Y
brief introduction
Scatter plots
Correlation
Pearson/Spearman
Regression
simple linear regres