# Articles by Brian Callander

April 4, 2020 |

### CIS Primer Question 3.3.1

February 13, 2019 |

CIS Primer Question 3.3.1 Posted on 14 February, 2019 by Brian Tags: CISP chapter 3, solutions, backdoor criteria Category: causal_inference_in_statistics_primer Here are my solutions to question 3.3.1 of Causal Inference in Statistics: a Primer (CISP). Part a and b For the causal effect of $$X$$ on $$Y$$, every backdoor path must ... [Read more...]

### CIS Primer Question 3.3.2

February 13, 2019 |

CIS Primer Question 3.3.2 Posted on 14 February, 2019 by Brian Tags: CISP chapter 3, solutions, lord's paradox, simpson's paradox Category: causal_inference_in_statistics_primer Here are my solutions to question 3.3.2 of Causal Inference in Statistics: a Primer (CISP). Part a The following DAG is a possible casual graph representing the situation. We ... [Read more...]

### CIS Primer Question 3.3.3

February 13, 2019 |

CIS Primer Question 3.3.3 Posted on 14 February, 2019 by Brian Tags: CISP chapter 3, solutions, backdoor criteria Category: causal_inference_in_statistics_primer Here are my solutions to question 3.3.3 of Causal Inference in Statistics: a Primer (CISP). $$\DeclareMathOperator{\do}{do}$$ The drug you have been assigned determines which ward you go to. Whether ... [Read more...]

### CIS Primer Question 3.2.1

February 9, 2019 |

CIS Primer Question 3.2.1 Posted on 10 February, 2019 by Brian Tags: CISP chapter 3, solutions, ace, risk difference, simpson's reversal Category: causal_inference_in_statistics_primer Here are my solutions to question 3.2.1 of Causal Inference in Statistics: a Primer (CISP). Here are the parameters we’ll use. Note that they are taken from ... [Read more...]

### CIS Primer Question 1.5.2

February 9, 2019 |

CIS Primer Question 1.5.2 Posted on 10 February, 2019 by Brian Tags: CISP chapter 1, solutions, simpson's reversal, product decomposition Category: causal_inference_in_statistics_primer Here are my solutions to question 1.5.2 of Causal Inference in Statistics: a Primer (CISP). I’ll use different indexing to make the notation clearer. In particular, the indices ... [Read more...]

### BDA3 Chapter 14 Exercise 3

February 9, 2019 |

BDA3 Chapter 14 Exercise 3 Posted on 10 February, 2019 by Brian Tags: bda chapter 14, solutions, quadratic form, qr decomposition Category: bda3 Here’s my solution to exercise 3, chapter 14, of Gelman’s Bayesian Data Analysis (BDA), 3rd edition. There are solutions to some of the exercises on the book’s webpage. \(\DeclareMathOperator{\dbinomial}{Binomial} \... [Read more...]