Statistics801Fall2014
1
LAB 4 Solutions
One of the concepts we have been discussing in class is the idea of power. Power is the probability of
rejecting a false null hypothesis under a specific alternative. It is desirable to have high power. Power is a
f
Statistics 801 Fall 2014
1
Homework 4
Due in class or on BlackBoard (October 17). Please hand in one per group. Include all names. Make sure that you show all of
your work for full credit.
Problem 1: A certain aptitude test for job trainees follows a norm
Statistics801Fall2014
By:MohamedAbedalMajedRenataSpuriGomes,SarahTenley
1
LAB 3
Problem 1: Data resulting from a study on white rabbit fertility appears in the paper Genetic analysis of
litter traits in Bauscat and Giza white rabbits (Animal Production (1
Statistics 801 - Fall 2014 page 1
Purpose
Learn about statistical methods used to answer questions raised in research. This includes collecting,
organizing and describing data and drawing conclusions from it.
What will be covered in this course
The role o
Statistics 801 - Fall 2014 page 10
Back to the Four Pillars
1.
2.
3.
4.
Significance: How strong is the evidence of the effect?
Estimation: What is the size of the effect?
Generalization: How broadly can we apply the conclusions?
Causation: Can we say wha
Statistics 801 - Fall 2014 page 83
Analysis of Variance with Unbalanced Data
Up to now, we have been dealing with balanced data or where there are the same number of
observations sampled for each treatment.
In Class Exercise: In your groups list 3-4 possi
Statistics 801 - Fall 2014 page 73
Analysis of Variance
We are going to start a new topic today, which is analysis of variance. Well start by considering a
random sample of observations from a single normal population with mean m and variance s 2 . If the
Statistics 801 - Fall 2014 page 89
Randomized Complete Block Designs
So far, all of the examples and models that we have been considering have been completely randomized
designs (CRD). Just as the name sounds, in these types of designs, the experimental u
Statistics 801 - Fall 2014 page 1
Inference for Two Variances
We have just finished describing the two sample t procedures. These procedures have the assumption
that the variances from the two populations are equal. So we are interested in testing the val
Statistics 801 - Fall 2014 page 40
the Four Pillars
1.
2.
3.
4.
Significance
Estimation
Generalization
Causation
Now well go back to estimation.
Estimation How large is the effect?
Interval Estimation Confidence Intervals
Example: Can dogs sniff out cance
Statistics 801 - Fall 2014 page 32
Back to the Four Pillars
1.
2.
3.
4.
Significance
Estimation
Generalization
Causation
We went over significance earlier. We are going to skip over estimation and talk about that later and
now cover generalization
General
Statistics 801 - Fall 2014 page 1
Measures of Center
Histograms: There are three general shapes of histograms that we will focus on. The shape of the
histogram gives us some insight about the center of the data.
Symmetric shape: This is a histogram where
Statistics801Fall2014
1
LAB 4
Workonthislabingroupsof23.Handinonlyonelabpergroup.DueMondaySept.29th
Makesureyoureturnthedice!
One of the concepts we have been discussing in class is the idea of power. Power is the probability
of rejecting a false null hyp
Statistics 801 Fall 2014
1
LAB 6
Assignment
1. Yields of 10 strawberry plants in a uniformity trial are given by Baker and Baker (1953) as 239, 176, 235, 217, 234,
216, 318, 190, 181 and 225 g. Test the H 0 : m =205 (chosen arbitrarily) versus H A : m 205
Statistics801Fall2014
1
LAB 3
MoreonthenormaldistributionandtheCLT
Examples Using the Normal Distribution
Problem 1: Data resulting from a study on white rabbit fertility appears in the paper Genetic analysis of
litter traits in Bauscat and Giza white rab
Statistics 801 Fall 2014
1
LAB 5-Solutions
1. A sequence of 300 pseudo-random digits was generated on a Casio fx-3600p calculator. The data give the
number of times each of the digits 0,1,2,9 occurred. Do these data look like all numbers appear
equally?
D
Exercise 1:
i.
Problem 1a
Obs
y time
1
10.0 a
2
6.5 a
3
8.0 a
4
12.0 a
5
5.0 a
6
11.5 a
7
5.0 a
8
3.5 a
9
7.5 a
10
5.8 a
11
4.7 a
12
8.0 a
13
7.0 a
14
17.0 a
15
8.8 a
16
17.0 a
17
15.0 a
18
4.4 a
19
2.0 a
Problem 1b
Obs
y time
1
2
14.0 b
3
13.5 b
4
18.0 b