University of California, Davis
Department of Biomedical Engineering
Probability and Statistics
for Biomedical Engineers
Fall 2015
David M. Rocke
BIM 105
November 12, 2015
Midterm Examination
NAME
PUT YOUR NAME ON EVERY PAGESHOW YOUR WORK
1. A new imaging

University of California, Davis
Department of Biomedical Engineering
Fall 2015
David M. Rocke
Probability and Statistics
for Biomedical Engineers
BIM 105
November 5, 2015
Homework Assignment 6
Due November 19, 2015
Always show your work.
All tests of mean

University of California, Davis
Department of Biomedical Engineering
Probability and Statistics
for Biomedical Engineers
Fall 2015
David M. Rocke
BIM 105
October 15, 2015
Homework Assignment 3, Part 2
Due October 22, 2015
Always show your work.
1. Eight p

University of California, Davis
Department of Biomedical Engineering
Fall 2015
David M. Rocke
Probability and Statistics
for Biomedical Engineers
BIM 105
October 6, 2015
Homework Assignment 2, Part 2
Due October 15, 2015
Always show your work.
1. Suppose

University of California, Davis
Department of Biomedical Engineering
Fall 2015
David M. Rocke
Probability and Statistics
for Biomedical Engineers
BIM 105
September 24, 2015
Homework Assignment 1, Part 2
Due October 6, 2015
1. The article The Selection of

University of California, Davis
Department of Biomedical Engineering
Probability and Statistics
for Biomedical Engineers
Fall 2013
David M. Rocke
BIM 105
October 31, 2013
Midterm Examination
NAME
PUT YOUR NAME ON EVERY PAGE
1. We have alkaline phosphatase

December 1, 2015
BIM 105 Probability and Statistics for Biomedical Engineers
1
Factorial Experiments
Regression type models can work with quantitative
responses (and also qualitative ones) and predictors
that are either quantitative or qualitative.
Some

October 29, 2015
BIM 105 Probability and Statistics for Biomedical Engineers
1
Hypothesis Tests
We have seen that a confidence interval for a parameter based on
a sample from a population can be thought of as the set of
parameter values that is consisten

November 24, 2015
BIM 105 Probability and Statistics for Biomedical Engineers
1
Model Selection
Suppose we have several possible predictor variables
for a response.
Each of the predictors and the response may be
transformed.
We can try to find a subset o

November 19, 2015
BIM 105 Probability and Statistics for Biomedical Engineers
1
Checking Assumptions
The single best plot to check assumptions is residuals
vs. fitted values.
This can show nonlinearity through curvature.
It can show heteroscedacticity th

November 5, 2015
BIM 105 Probability and Statistics for Biomedical Engineers
1
Summaries for Bivariate Data
If we have two measurements on each unit in a sample,
we call that bivariate data.
For example, we have 17 subjects with measurements
X = peak a

University of California, Davis
Department of Biomedical Engineering
Fall 2014
David M. Rocke
Probability and Statistics
for Biomedical Engineers
BIM 105
November 6, 2014
Midterm Examination
NAME
PUT YOUR NAME ON EVERY PAGE
1. The time T in milliseconds (

November 10, 2015
BIM 105 Probability and Statistics for Biomedical Engineers
1
The Least-Squares Line
Correlation is symmetric in X and Y
If we want to predict Y from X, we can construct a
prediction function y = f(x) which given x will make
the best p

University of California, Davis
Department of Biomedical Engineering
Fall 2015
David M. Rocke
Probability and Statistics
for Biomedical Engineers
BIM 105
October 22, 2015
Homework Assignment 4
Due October 29, 2015
Always show your work.
MATLAB Exercises m

University of California, Davis
Department of Biomedical Engineering
Fall 2015
David M. Rocke
Probability and Statistics
for Biomedical Engineers
BIM 105
October 29, 2015
Homework Assignment 5
Due November 5, 2015
Always show your work.
All tests and inte

September 24, 2015
BIM 105 Probability and Statistics for Biomedical Engineers
1
Course Information
http:/dmrocke.ucdavis.edu/courses.html
Main Course Site
https:/smartsite.ucdavis.edu
Possible uses
http:/connect.mheducation.com/class/d-rocke-fall-20

University of California, Davis
Department of Biomedical Engineering
Fall 2015
David M. Rocke
Probability and Statistics
for Biomedical Engineers
BIM 105
November 12, 2015
Midterm Examination
NAME
PUT YOUR NAME ON EVERY PAGESHOW YOUR WORK
1. A new imaging

University of California, Davis
Department of Biomedical Engineering
Probability and Statistics
for Biomedical Engineers
Fall 2016
David M. Rocke
BIM 105
October 6, 2016
Homework Assignment 3, Part 2
Due October 13, 2015
Always show your work.
1. Eight pe

University of California, Davis
Department of Biomedical Engineering
Fall 2016
David M. Rocke
Probability and Statistics
for Biomedical Engineers
BIM 105
September 29, 2016
Homework Assignment 2, Part 2
Due October 6, 2016
Always show your work.
1. Two me

University of California, Davis
Department of Biomedical Engineering
Fall 2016
David M. Rocke
Probability and Statistics
for Biomedical Engineers
BIM 105
September 22, 2016
Homework Assignment 1, Part 2
Due September 29, 2016
Show your work!
1. The articl

October 20, 2015
BIM 105 Probability and Statistics for Biomedical Engineers
1
Types of Continuous Data and Distributions
Continuous data arise from measurement or
differences of measurements.
The range of the data is often either the whole real line
(,

October 22, 2015
BIM 105 Probability and Statistics for Biomedical Engineers
1
Point and Interval Estimation
A population may sometimes be characterized by its
parameters; for example, a normal population is
completely described by the mean and the varia

October 13, 2015
BIM 105 Probability and Statistics for Biomedical Engineers
1
Random Variables
If we have a probabilistic experiment in which the
outcome is or can be thought of as a number, then this
is called a random variable.
Formally, a random var

October 27, 2015
BIM 105 Probability and Statistics for Biomedical Engineers
1
Population parameters and Sample Statistics
October 27, 2015
BIM 105 Probability and Statistics for Biomedical Engineers
2
Inferences from Two Samples
Most of the time, what w

October 15, 2015
BIM 105 Probability and Statistics for Biomedical Engineers
1
Types of Data and Distributions
Discrete data are usually counts, and these can be of basically
two types.
One type is when we have a set of objects, and for each one the
obj

September 29, 2015
BIM 105 Probability and Statistics for Biomedical Engineers
1
Graphical Summaries
Often, it is easier to see the general structure of the data in
a graphic rather than in a set of numerical summaries.
We will examine three very useful

University of California, Davis
Department of Biomedical Engineering
Fall 2015
David M. Rocke
Probability and Statistics
for Biomedical Engineers
BIM 105
November 19, 2015
Homework Assignment 7
Due December 3, 2015
Always show your work.
Use MATLAB for al

October 6, 2015
BIM 105 Probability and Statistics for Biomedical Engineers
1
Probability
What kind of samples
can occur?
Known Population
October 6, 2015
BIM 105 Probability and Statistics for Biomedical Engineers
2
Statistics
Known sample
What kind of p

November 17, 2015
BIM 105 Probability and Statistics for Biomedical Engineers
1
Example Problem
In an accelerated life test, units are operated under
extreme conditions until failure.
In one such test, 12 motors were operated under high
temperature condit

University of California, Davis
Department of Biomedical Engineering
Fall 2014
David M. Rocke
Probability and Statistics
for Biomedical Engineers
BIM 105
November 6, 2014
Midterm Examination
NAME
PUT YOUR NAME ON EVERY PAGE
1. The time T in milliseconds (