Statistical Analysis & Modelling I
Resources for Statistical Analysis & Modelling I (also known as SAM) - for more information about the course, please see course outlines.
Maths background knowledge
There is some maths knowledge that is important to have in order to make sense concepts in SAM. These resources will be helpful to learn or relearn some of this background knowledge.
Set notation and other notations are used a lot in SAM. This seminar was given by the MLC in 2013 and discusses how to make sense of mathematical notation.
Sum notation is common in a few places in SAM, especially in proofs. This seminar was given to Maths IA students in Sem 1 2016, and discussed how sum notation works, the rules for how it interacts with other operations, and some of the special manipulations you can do with it.
- Revision seminar: sum notation, Sem 1 2016 (YouTube)
- Revision seminar: sum notation, Sem 1 2016 (Echo360)
Some concepts in SAM will make use of integration. These lectures from the old MathsTrack bridging course will be useful for revising this content:
Resources to help with the course content
We have run several study/revision seminars for SAM and other courses in the past, covering various aspects of the course. Note that this course has changed its curriculum in most semesters over the last several years, so please check against your course material if you are in doubt.
Probability
A revision seminar was given to students in a different statistics course (called Statistical Practice I) and is mainly on probability and distributions, including types of variables, probability distributions, theoretical means and standard deviations and probability laws. It also included a little on how to choose what hypothesis test goes with what situation, as well as the chi-squared test.
- Revision seminar: Stat Prac I: probability distributions 2013 (YouTube)
- Revision seminar: Stat Prac I: probability distributions 2013 (Echo360)
In Semester 2, 2017, the MLC gave a revision seminar with a section on conditional probability to students in another course called Maths for Information Technology. David talked about Venn and tree diagrams and calculations, then did an example from a past exam.
- Revision seminar section: Maths for IT: conditional probability 2017 (YouTube)
- Revision seminar section: Maths for IT: conditional probability 2017 (Echo360)
In Semester 2 2017, David gave a revision seminar to SAM students with a section on normal distributions and converting between them (starting at 30m55s).
- Revision seminar: SAM: Normal distributions 2017 (YouTube)
- Revision seminar: SAM: Normal distributions 2017 (Echo360)
Details about significance/hypothesis tests
In Semester 2, 2019, the MLC gave a revision seminar for SAM students with a section (starting at 1h19m8s) on choosing what hypothesis test to do when. David discussed the six features of the data/story combination that help do distinguish the various hypothesis tests.
- Revision seminar section: SAM: choosing a hypothesis test 2019 (YouTube)
- Revision seminar section: SAM: choosing a hypothesis test 2019 (Echo360)
In Semester 2 2017, David gave a revision seminar to SAM students with a section (starting at 56m45s) on ANOVA. He talked about a few of the ideas behind how ANOVA works and what you use it for.
- Revision seminar section: SAM: ANOVA outline 2017 (YouTube)
- Revision seminar section: SAM: ANOVA outline 2017 (Echo360)
In Semester 2, 2019, the MLC gave a revision seminar for SAM students that started with a section on one-way and two-way ANOVA.
- Revision seminar section: SAM: ANOVA 2019 (YouTube)
- Revision seminar section: SAM: ANOVA 2019 (Echo360)
In this revision seminar in Semester 2 2013, David gave a description of each of the twelve hypothesis tests that appeared in Stat Prac I in that year, including the assumptions that need to be checked for each. Note that the content will differ a bit from what is in SAM (for example, they don't use the E(X) notation, and you may have a different list of tests, and a different computer program), but it should still be useful information.
- Revision seminar: Stat Prac I: Details about significance/hypothesis tests, 2013 (YouTube)
- Revision seminar: Stat Prac I: Details about significance/hypothesis tests, 2013 (Echo360)
- Hypothesis test details handout (PDF)
This revision seminar was given in Semester 1 2021 for Stat Prac I. David discussed the Chi-squared test for association/independence, then the Chi-squared test for goodness of fit (starting at 1h2m45s), then ANOVA (starting at 1h14m40s).
- Revision seminar: Stat Prac I: Chi-squared tests and ANOVA, 2013 (YouTube)
- Revision seminar: Stat Prac I: Chi-squared tests and ANOVA, 2013 (Echo360)
Regression
In Semester 2 2017, David gave a revision seminar to SAM students with two sections on regression. In the first section, he went through an past exam question involving a proof concerning the expected value and variance of the slope estimator, making morals about strategies for approaching similar proofs. In the last section of the 2017 seminar (beginning at 1h33m24s), David did a quick overview of what multiple regression is for and the ideas behind how it works, followed by talking through how to use the various plots to check assumptions.
- Revision seminar: SAM: regression proofs 2017 (YouTube)
- Revision seminar: SAM: regression proofs 2017 (Echo360)
In Semester 2, 2018, the MLC gave a revision seminar about regression and ANOVA. David did some activities to get a handle on what regression is for, and then talked about how regression and ANOVA work, including the assumptions involved.
- Revision seminar: SAM: regression and ANOVA revision seminar 2018 (YouTube)
- Revision seminar: SAM: regression and ANOVA revision seminar 2018 (Echo360)
Interpreting stats
This handout has sentence frames you can use to say the right words for interpreting statistics such as confidence intervals, slopes and coefficients of determination.
Statistical concepts
This lecture series was given to Medical students in 2016 and 2018, and has an overview of the information you need to know to choose what statistical procedure goes with what. It also has explanations of what hypothesis testing, confidence intervals and regression are doing. (Some of the terminology is different to Stat Prac I, but the ideas are similar.)