STAT 100B
Section 10.4: Small-Sample Inferences for the Difference between Two Population
Means: Independent Random Samples
When the sample sizes are small, you can no longer
rely on the Central Limit Theorem to ensure that the
sample means will be normal
Formula Sheet for Statistics 100B
x
ij
2
2
Total SS = x ij -x = x ij n
2
2
xij
2
Ti
Ti2 G2
2
SST= ni xi -x = = ,
ni
n
ni
n
SSE = n1 -1 s12 + n 2 -1 s22 + . + n k -1 sk2
d f T rt = k -1 an d d f E = n -k
x -x t
i
j
1 1
s +
ni n j
/2
dfTrt = k-1
d
STAT 100B
Chapter 13: Multiple Regression Analysis
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186
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188
Example:
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190
191
equations.
Solving the normal equations can be quite complex;
therefore, we will rely on Minitab to do this for us.
192
193
Example: The relationship b
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210
211
212
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217
218
219
Multicollinearity can cause a large difference between
R 2 and R a2 .
_
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221
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225
Interpreting is in Multiple Regression
i is the change in the expected value of Y for a one unit
increase in Xi, w
COURSE SYLLABUS
Statistics 100B, Spring 2016
Introduction to Statistics
Course Description
This is a 5 unit course composed of 3 lecture units per week, 1 lab unit per week = 3 hours of
lab, and 1 discussion unit per week. The prerequisite for this course
STAT 100B
Section 8.6 & 9.4: Estimating & Testing the Difference between Two Population Means
A problem equally as important as estimating or
testing a single population mean for a quantitative
population is the comparison of two population
means.
Propert
STAT 100B
Section 8.7 & 9.6: Estimating & Testing the Difference between Two Binomial
Proportions
Properties of the Sampling Distribution of ( P1 - P2 ) ,
the Difference between Two Sample Means
1. The mean of ( P1 - P2 ) is
2. The standard error of ( P1