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6 changes: 2 additions & 4 deletions _subfiles/math-prereqs/_calc_integrals_ftc.qmd
Original file line number Diff line number Diff line change
Expand Up @@ -45,11 +45,9 @@ $$\int_a^x \dif{F}{t}\,dt = F(x) - F(a)$$
The two parts of the FTC together express that **differentiation and
integration are inverse operations**:

- Part 1: differentiating the integral of $f$ recovers $f$
(@eq-ftc-deriv-of-integral).
- Part 1: differentiating the integral of $f$ recovers $f$ (@eq-ftc-deriv-of-integral).
- Part 2: the integral of $f$ over $[a, b]$ equals the difference of
any antiderivative's values at the endpoints
(@eq-ftc-part2),
any antiderivative's values at the endpoints (@eq-ftc-part2),
which rearranges to "integrating the derivative of $F$ recovers the
net change in $F$" (@eq-ftc-integral-of-deriv).

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8 changes: 4 additions & 4 deletions _subfiles/math-prereqs/_sec_linear_algebra.qmd
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Expand Up @@ -737,10 +737,10 @@ and $\matr{S}$ is a $p \times p$ matrix.
Quadratic forms are the matrix generalizations of the scalar expression $c x^2$.
They occur frequently in statistics:

- The residual sum of squares in linear regression
(@sec-vector-calculus) is a quadratic form.
- The variance of a linear combination of estimates
(@sec-linreg-inference) is a quadratic form:
- The residual sum of squares in linear regression (@sec-vector-calculus)
is a quadratic form.
- The variance of a linear combination of estimates (@sec-infer-LMs)
is a quadratic form:
$\Var{\tp{\vx}\hat{\vb}} = \tp{\vx}\,\Var{\hat{\vb}}\,\vx$.
:::

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Original file line number Diff line number Diff line change
Expand Up @@ -69,7 +69,7 @@ Now, let's define ***how*** the hazard function depends on covariates.
We typically use a log link to model the relationship between
the hazard function, $\haz(t|\vx)$, and
the linear component, $\eta(t|\vx)$,
as we did for Poisson models in [models for count outcomes](count-regression.qmd#sec-count-reg);
as we did for Poisson models in [models for count outcomes](count-regression.qmd);
that is:

:::
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2 changes: 1 addition & 1 deletion chapters/basic-statistical-methods.qmd
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Expand Up @@ -556,7 +556,7 @@ fisher.test(hers$exercise, hers$HT)

## Measures of association for 2×2 tables {#sec-2x2-measures}

See [Odds Ratios and Relative Risks](OR-RR.qmd) for definitions and formulas.
See [Odds Ratios and Relative Risks](logistic-regression.qmd#sec-OR-RR) for definitions and formulas.

# Correlation {#sec-correlation}

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4 changes: 2 additions & 2 deletions chapters/inference.qmd
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Expand Up @@ -27,7 +27,7 @@ based on the data (and our prior beliefs).

There are two predominant paradigms for statistical inference:

1. [Bayesian inference](intro-bayes.qmd#sec-bayes)
1. [Bayesian inference](intro-bayes.qmd)
2. [Frequentist inference](intro-MLEs.qmd#sec-intro-MLEs)

# Interpretation of Negative Findings
Expand Down Expand Up @@ -68,7 +68,7 @@ To do: convert this sketch into a nicely formatted figure.

See also @vittinghoff2e §3.7 (p64).

# Confidence intervals
# Confidence intervals {#sec-CI}

:::{#def-margin-error}
## margin of error
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2 changes: 1 addition & 1 deletion chapters/intro-MLEs.qmd
Original file line number Diff line number Diff line change
Expand Up @@ -20,7 +20,7 @@ Some material was also taken from @mclachlan2007em and @CaseBerg01.

{{< include shared-config.qmd >}}

# Overview of maximum likelihood estimation
# Overview of maximum likelihood estimation {#sec-intro-MLEs}

{{< include _subfiles/intro-MLEs/_sec_likelihood.qmd >}}

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26 changes: 13 additions & 13 deletions references.bib
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Expand Up @@ -100,7 +100,7 @@ @article{Walter2001
}

@article{Grodstein2001,
title={Postmenopausal hormone use and secondary prevention of coronary events in the Nurses' Health Study: a prospective, observational study},
title={Postmenopausal hormone use and secondary prevention of coronary events in the {Nurses' Health Study}: a prospective, observational study},
author={Grodstein, Francine and Manson, JoAnn E. and Stampfer, Meir J. and Colditz, Graham A. and Willett, Walter C. and Rosner, Bernard and Speizer, Frank E. and Hennekens, Charles H.},
journal={Annals of Internal Medicine},
year={2001},
Expand All @@ -121,7 +121,7 @@ @article{Orwoll1996
}

@article{Vittinghoff2003,
title={Risk factors and secondary prevention in women with heart disease: the Heart and Estrogen/progestin Replacement Study},
title={Risk factors and secondary prevention in women with heart disease: the {Heart and Estrogen/progestin Replacement Study}},
author={Vittinghoff, Eric and Shlipak, Michael G. and Varosy, Peter D. and McDermott, Mary and Robbins, John A. and Harris, Tamara B. and Newman, Anne B. and Bauer, Douglas C.},
journal={Annals of Internal Medicine},
year={2003},
Expand Down Expand Up @@ -202,7 +202,7 @@ @book{dobson4e
}

@book{mclachlan2007em,
title={The EM algorithm and extensions},
title={The {EM} algorithm and extensions},
author={McLachlan, Geoffrey J and Krishnan, Thriyambakam},
year={2007},
edition={2},
Expand Down Expand Up @@ -276,7 +276,7 @@ @article{lawrance2020estimand
}

@article{efron1978assessing,
title={Assessing the accuracy of the maximum likelihood estimator: Observed versus expected Fisher information},
title={Assessing the accuracy of the maximum likelihood estimator: Observed versus expected {Fisher} information},
author={Efron, Bradley and Hinkley, David V},
journal={Biometrika},
volume={65},
Expand Down Expand Up @@ -434,7 +434,7 @@ @Manual{venablescodingMatrices
}

@article{anderson1935irises,
title={The irises of the Gaspe Peninsula},
title={The irises of the {Gaspe Peninsula}},
author={Anderson, Edgar},
journal={Bulletin of American Iris Society},
volume={59},
Expand Down Expand Up @@ -608,7 +608,7 @@ @book{kuhn2022tidy
}

@book{kleinman2009sas,
title={SAS and R: Data management, statistical analysis, and graphics},
title={{SAS} and {R}: Data management, statistical analysis, and graphics},
author={Kleinman, Ken and Horton, Nicholas J},
year={2009},
publisher={Chapman and Hall/CRC},
Expand Down Expand Up @@ -652,7 +652,7 @@ @book{NahhasIntroR
}

@article{rosenman1975coronary,
title={Coronary heart disease in the Western Collaborative Group Study: Final follow-up experience of 8 1/2 years},
title={Coronary heart disease in the {Western Collaborative Group Study}: Final follow-up experience of 8 1/2 years},
author={Rosenman, Ray H and Brand, Richard J and Jenkins, C David and Friedman, Meyer and Straus, Reuben and Wurm, Moses},
journal={JAMA},
volume={233},
Expand Down Expand Up @@ -749,7 +749,7 @@ @book{agresti2018introcat
}

@article{copelan1991treatment,
title={Treatment for acute myelocytic leukemia with allogeneic bone marrow transplantation following preparation with BuCy2},
title={Treatment for acute myelocytic leukemia with allogeneic bone marrow transplantation following preparation with {BuCy2}},
author={Copelan, Edward A and Biggs, James C and Thompson, James M and Crilley, Pamela and Szer, Jeff and Klein, John P and Kapoor, Neena and Avalos, Belinda R and Cunningham, Isabel and Atkinson, Kerry},
year={1991},
doi={10.1182/blood.V78.3.838.838}
Expand Down Expand Up @@ -882,7 +882,7 @@ @book{suarez2017applications
}

@book{muenchen2011r,
title={R for SAS and SPSS users},
title={R for {SAS} and {SPSS} users},
author={Muenchen, Robert A},
year={2011},
publisher={Springer Science \& Business Media},
Expand Down Expand Up @@ -911,7 +911,7 @@ @inbook{newey1994large
}

@article{aragon2018population,
title={Population health thinking with Bayesian networks},
title={Population health thinking with {Bayesian} networks},
author={Aragon, Tomas J},
year={2018},
url={https://escholarship.org/uc/item/8000r5m5}
Expand Down Expand Up @@ -1381,14 +1381,14 @@ @book{realanalysislifesaver
@book{kery-bayes-pop,
author = {Kéry, Marc. and Schaub, Michael. and Beissinger, Steven R.},
address = {Boston},
booktitle = {Bayesian population analysis using WinBUGS : a hierarchical perspective},
booktitle = {Bayesian population analysis using {WinBUGS} : a hierarchical perspective},
edition = {1st ed.},
isbn = {9786613272829},
keywords = {Population biology -- Data processing ; R (Computer program language) ; WinBUGS},
language = {eng},
lccn = {2011029641},
publisher = {Academic Press},
title = {Bayesian population analysis using WinBUGS : a hierarchical perspective },
title = {Bayesian population analysis using {WinBUGS} : a hierarchical perspective },
year = {2012},
url={https://shop.elsevier.com/books/bayesian-population-analysis-using-winbugs/kery/978-0-12-387020-9}
}
Expand Down Expand Up @@ -1427,7 +1427,7 @@ @book{korner.bayes.ecology
@book{statrethink2e,
author = {McElreath, Richard},
address = {Boca Raton, FL},
booktitle = {Statistical rethinking : a Bayesian course with examples in {R} and {Stan}},
booktitle = {Statistical rethinking : a {Bayesian} course with examples in {R} and {Stan}},
edition = {Second edition},
isbn = {036713991X},
keywords = {Théorie de la décision bayésienne ; R (Langage de programmation) ; Théorème de Bayes ; Logiciels ; software ; Computer software ; Computer programs ; Bayesian statistical decision theory ; R (Computer program language) ; Bayes-Entscheidungstheorie ; R Programm ; Statistisches Modell ; Mathematics},
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