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11.3.1 Setting the Seed: Reproducibility in Simulation Studies.

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11.2.1 Example: Regression Analysis as a Function Call.11.1.1 Example 1: Running many regression models.9.4 Creating your document from the R Markdown file.9.3 Understanding the R Markdown editor.9 Documenting your results with R Markdown.8.4.3 Interpreting results: time dependent covariates.8.4.2 Example: Mullen composite and Visit.8.3.3 Example 2: Categorical Covariates.8.2.5 Example 2: Categorical predictors.7.2.2 Accounting for estimation variance and hypothesis testing.7.2.1 Parameter Estimation: Mean, Median, tutorial, Quantiles.6.2 Creating Basic Tables: table() and xtabs().4.2.6 Editing factor variables: recode() and relevel().4.2.3 Spread, Gather, Separate and Unite.2.3 R and RStudio: What is the difference?.Note the difference between Σx² and (Σx)², they might be read aloud the same, but they are not the same. The summation of x² vs the summation of x….² x2 = x ^ 2 y2 = y ^ 2 sx2 = sum(x2) sy2 = sum(y2)

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Now all we’re missing summation of the dot exponential of both x and y, as well as the summatation of x squared. N = length(x) xy = x * y Σx = sum(x) Σy = sum(y) Σxy = sum(xy)

  • Σ() Base Sigma can be calculated using the sum() function.
  • xy - We need the product of x and y first, luckily we can just use the * operand to multiply our arrays.
  • n - We can calculate n using R’s base function “ length.”.
  • Nearly all of the operands in R can be used with Linear Algebra. Fortunately, R was built with linear algebra in mind.
  • (Σy)² - The summation of y to the second power.Īfter breaking down the equation, obviously we need to calculate each individual parts.
  • Σy² - The summation of the dot square of y.
  • (Σx)² - The summation of x to the second power.
  • Σx² - The summation of the dot square of x.
  • Σxy - The summation of the dot product of x and y.
  • The formula can be made a lot easier when each part at play is broken into pieces. At first, this calculation seems quite comprehensive and difficult.











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