Worked Examples
Statistical tables
To complete some of the examples below you will need access to a table of "critical values" for the probability distribution that test uses. There are copies of these tables in your lab manual as well. The tables you will need are:- Normal (i.e., Z) distribution areas
- t distribution critical values
- F distribution critical values for p=0.05
- F distribution critical values for p=0.025
- F distribution critical values for p=0.01
- F distribution critical values for p=0.001
- Chi-squared (i.e., X2) distribution critical values
- Fmax distribution critical values for p=0.025 and p=0.05
- Q distribution critical values for p=0.05
General overview
For each of the calculation topics we cover in class I have created introductory and example videos. These are the same videos on the "Weeks" page, but organized differently. The first set of examples are available on the YouTube channel using the link provided. The second set of examples are posted as a blank sheet with the data and questions and a corresponding completed version. To make best use of these I recommend watching the introductory video and the examples videos while taking your own notes first. Studies have shown that actively taking notes helps learning much more that passively watching a video. You can use the PDF to check your notes. Then try performing the calculations on the first blank sheet (this is the data set from the online video) with minimal use of your notes. After that, try the examples on the second sheet and check your answers on the completed sheet. Many of the assignments and questions on exams are very similar to these examples so spending time with these worked examples will help you considerably.Summation notation
IntroductionPDF link: bio260-1-summation-notation-intro.pdf
YouTube link: youtu.be/zxO7L-l2fOE
YouTube example
PDF link: bio260-2-summation-notation-examples.pdf
YouTube link: youtu.be/1kvH_oOalws
Printed example
Blank version - Completed version
Summary statistics
IntroductionPDF link: bio260-3-summary-statistics-intro.pdf
YouTube link: youtu.be/KZM42SyNmfw
YouTube example
PDF link: bio260-4-summary-statistics-examples.pdf
YouTube link: youtu.be/GeMb6qpRMn0
Printed example
Blank version - Completed version
Binomial probability
IntroductionPDF link: bio260-7-binomial-probability-intro.pdf
YouTube link: youtu.be/IiPEOWMpQYw
YouTube example
PDF link: bio260-8-binomial-probability-examples.pdf
YouTube link: youtu.be/5I_jVKfOX8k
Printed example
Blank version - Completed version
Poisson probability
IntroductionPDF link: bio260-9-poisson-probability-intro.pdf
YouTube link: youtu.be/l8i1w-68o2I
YouTube example
PDF link: bio260-10-poisson-probability-examples.pdf
YouTube link: youtu.be/eudCo8_D8Tc
Printed example
Blank version - Completed version
Normal distribution (i.e., Z scores)
IntroductionPDF link: bio260-11-normal-probability-intro.pdf
YouTube link: youtu.be/05NKRdgf7P4
YouTube example
PDF link: bio260-12-normal-probability-examples.pdf
YouTube link: youtu.be/HOLzFYlortU
Printed example
Blank version - Completed version
Confidence intervals
IntroductionPDF link: bio260-13-confidence-intervals-intro.pdf
YouTube link: youtu.be/EVd9DQ-0FOI
YouTube example
PDF link: bio260-14-confidence-intervals-examples.pdf
YouTube link: youtu.be/XKW0dLfmo6k
Printed example
Blank version - Completed version
One-sample t test
IntroductionPDF link: bio260-15-one-sample-t-test-intro.pdf
YouTube link: youtu.be/M_368-vCJbc
YouTube example
PDF link: bio260-16-one-sample-t-test-examples.pdf
YouTube link: youtu.be/vKDi309WlKM
Printed example
Blank version - Completed version
Two-sample unpaired t test
IntroductionPDF link: bio260-21-two-sample-t-test-intro.pdf
YouTube link: youtu.be/tuQ23QGOeLo
YouTube example
PDF link: bio260-21-two-sample-t-test-unpaired-examples.pdf
YouTube link: youtu.be/aOgm0M0qiEM
Printed example
Blank version - Completed version
Two-sample paired t test
IntroductionPDF link: bio260-21-two-sample-t-test-intro.pdf
YouTube link: youtu.be/tuQ23QGOeLo
YouTube example
PDF link: bio260-21-two-sample-t-test-paired-examples.pdf
YouTube link: youtu.be/LJzguaEYiHk
Printed example
Blank version - Completed version
F test (i.e., variance ratio test)
IntroductionPDF link: bio260-22-variance-ratio-F-test-intro.pdf
YouTube link: youtu.be/lUos8-NEOgA
YouTube example
PDF link: bio260-22-variance-ratio-F-test-examples.pdf
YouTube link: youtu.be/fsqjsvneZik
Printed example
Blank version - Completed version
Chi-squared goodness-of-fit test
IntroductionPDF link: bio260-23-chi-squared-intro.pdf
YouTube link: youtu.be/7rGTZp8PlAk
YouTube example
PDF link: bio260-23-chi-squared-example-dihybrid-cross.pdf
YouTube link: youtu.be/ZWuVSAsNxf4
Printed example
Blank version - Completed version
Fmax test
IntroductionPDF link: bio260-27-Fmax-test-intro.pdf
YouTube link: youtu.be/uL3sahPMweA
YouTube example
PDF link: bio260-27-Fmax-test-examples.pdf
YouTube link: youtu.be/LpBNDs1wY1Y
One-factor (i.e., One-way) ANOVA
IntroductionPDF link: bio260-24-one-factor-ANOVA-intro.pdf
YouTube link: youtu.be/zxO7L-l2fOE
YouTube example
PDF link: bio260-25-one-factor-ANOVA-examples.pdf
YouTube link: youtu.be/JuFAo7WTeDs
Printed example 1
Blank version - Completed version
Printed example 2
Note: This example shows you how data transformation works.
Blank version - Completed version
Printed example 3
Blank version - Completed version
Two-factor (i.e., Two-way) ANOVA
IntroductionPDF link: bio260-28-two-factor-ANOVA-intro.pdf
YouTube link: youtu.be/y8Zwif85KaY
YouTube example
PDF link: bio260-29-two-factor-ANOVA-worked-example.pdf
YouTube link: youtu.be/VPGN7nJjdjE
Printed example 1
Blank version - Completed version
Printed example 2
Blank version - Completed version
Regression/correlation
Introduction to conceptsPDF link: bio260-31-correlaton-regression-intro.pdf
YouTube link: youtu.be/hZzbINNQeno
Introduction to calculations
PDF link: bio260-32-correlaton-regression-procedure.pdf
YouTube link: youtu.be/DnXRRhBafCc
YouTube example
PDF link: bio260-32-correlaton-regression-examples.pdf
YouTube link: youtu.be/TRk6uCJoJ2o
Printed example
Blank version - Completed version

