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Before we fit a model

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Dr. Lucy D'Agostino McGowan

Before you fit a model

๐Ÿ“– Understand the content matter

2 / 6
Dr. Lucy D'Agostino McGowan

Before you fit a model

๐Ÿ“– Understand the content matter As a statistician I collaborate frequently with subject matter experts to ensure that I understand the the context of the problem at hand.

2 / 6
Dr. Lucy D'Agostino McGowan

Before you fit a model

๐Ÿ“– Understand the content matter As a statistician I collaborate frequently with subject matter experts to ensure that I understand the the context of the problem at hand.

โ“ Understand the objective

2 / 6
Dr. Lucy D'Agostino McGowan

Before you fit a model

๐Ÿ“– Understand the content matter As a statistician I collaborate frequently with subject matter experts to ensure that I understand the the context of the problem at hand.

โ“ Understand the objective It is crucial to understand the what the objectives are. Ideally, these are set a priori, or if exploratory analyses are being done that is very explicit from beginning to end

2 / 6
Dr. Lucy D'Agostino McGowan

Before you fit a model

๐Ÿ“– Understand the content matter As a statistician I collaborate frequently with subject matter experts to ensure that I understand the the context of the problem at hand.

โ“ Understand the objective It is crucial to understand the what the objectives are. Ideally, these are set a priori, or if exploratory analyses are being done that is very explicit from beginning to end

๐Ÿ“ Understand where the data came from

2 / 6
Dr. Lucy D'Agostino McGowan

Before you fit a model

๐Ÿ“– Understand the content matter As a statistician I collaborate frequently with subject matter experts to ensure that I understand the the context of the problem at hand.

โ“ Understand the objective It is crucial to understand the what the objectives are. Ideally, these are set a priori, or if exploratory analyses are being done that is very explicit from beginning to end

๐Ÿ“ Understand where the data came from Was this observational or experimental data? Is any data missing? What are the units? Are there data entry issues?

2 / 6
Dr. Lucy D'Agostino McGowan

Before you fit a model

๐Ÿ“– Understand the content matter As a statistician I collaborate frequently with subject matter experts to ensure that I understand the the context of the problem at hand.

โ“ Understand the objective It is crucial to understand the what the objectives are. Ideally, these are set a priori, or if exploratory analyses are being done that is very explicit from beginning to end

๐Ÿ“ Understand where the data came from Was this observational or experimental data? Is any data missing? What are the units? Are there data entry issues?

๐Ÿงน Get the data into a tidy, analyzable form

2 / 6
Dr. Lucy D'Agostino McGowan

Before you fit a model

๐Ÿ“– Understand the content matter As a statistician I collaborate frequently with subject matter experts to ensure that I understand the the context of the problem at hand.

โ“ Understand the objective It is crucial to understand the what the objectives are. Ideally, these are set a priori, or if exploratory analyses are being done that is very explicit from beginning to end

๐Ÿ“ Understand where the data came from Was this observational or experimental data? Is any data missing? What are the units? Are there data entry issues?

๐Ÿงน Get the data into a tidy, analyzable form Often we get data in a form that is not easily analyzable. In this class, we will be focusing mostly on statistical methodology once the data is in an analyzable format, but just because it is analyzable doesn't mean the analysis choice is obvious.

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Dr. Lucy D'Agostino McGowan

Before you fit a model

๐Ÿ’ƒ Determine the appropriate model

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Dr. Lucy D'Agostino McGowan

Before you fit a model

๐Ÿ’ƒ Determine the appropriate model In this class we are focusing on Linear Models. Linear models are not always appropriate. You must examine your data to determine whether a linear model is a good choice.

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Dr. Lucy D'Agostino McGowan

Before you fit a model

๐Ÿ“– Understand the content matter

โ“ Understand the objective

๐Ÿ“ Understand where the data came from

๐Ÿงน Get the data into a tidy, analyzable form

๐Ÿ’ƒ Determine the appropriate model

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Dr. Lucy D'Agostino McGowan

Is a Linear Model appropriate?

  • Outcome variable, \(y\) is continuous
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Dr. Lucy D'Agostino McGowan

Is a Linear Model appropriate?

  • Outcome variable, \(y\) is continuous
  • Explanatory variable(s), \(\mathbf{X} = \{X_1, \dots, X_p\}\) can take any form
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Dr. Lucy D'Agostino McGowan

Is a Linear Model appropriate?

  • Outcome variable, \(y\) is continuous
  • Explanatory variable(s), \(\mathbf{X} = \{X_1, \dots, X_p\}\) can take any form
  • Observations are independent
5 / 6
Dr. Lucy D'Agostino McGowan

Is a Linear Model appropriate?

  • Outcome variable, \(y\) is continuous
  • Explanatory variable(s), \(\mathbf{X} = \{X_1, \dots, X_p\}\) can take any form
  • Observations are independent
  • The residuals are homoscedastic (Equal variance)
5 / 6
Dr. Lucy D'Agostino McGowan

Is a Linear Model appropriate?

  • Outcome variable, \(y\) is continuous
  • Explanatory variable(s), \(\mathbf{X} = \{X_1, \dots, X_p\}\) can take any form
  • Observations are independent
  • The residuals are homoscedastic (Equal variance)
  • The residuals are normally distributed
5 / 6
Dr. Lucy D'Agostino McGowan

Is a Linear Model appropriate?

  • Outcome variable, \(y\) is continuous
  • Explanatory variable(s), \(\mathbf{X} = \{X_1, \dots, X_p\}\) can take any form
  • Observations are independent
  • The residuals are homoscedastic (Equal variance)
  • The residuals are normally distributed
  • The relationship between the residuals & \(y\) is linear
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Dr. Lucy D'Agostino McGowan

What are Linear Models used for?

โ˜๏ธ Prediction of future outcomes using specific predictors

6 / 6
Dr. Lucy D'Agostino McGowan

What are Linear Models used for?

โ˜๏ธ Prediction of future outcomes using specific predictors

โœŒ๏ธ Assessing the relationship between explanatory variables and the response

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Dr. Lucy D'Agostino McGowan

Before you fit a model

๐Ÿ“– Understand the content matter

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