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Refers generally to statistical procedures that utilize the logistic function, most commonly various forms of logistic regression

2 votes
1 answer
251 views

Logistic Regression - Odds & log of odds

ln(p1−p)=β0+β1X The equation of line in the above equation denotes that the log of odds is linearly related to the predictor variables. Why is log of odds linearly related to the predictor variables, …
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1 vote
0 answers
37 views

Logistic Regression-Log odds calculation example

Can someone provide me an example/link of how log odds is calculated in logistic regression (with multiple independent variables)? All the examples I've come across explain log odds calculation with a …
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1 vote
0 answers
101 views

Additive model of Logit

Log converts values from multiplicative scale to additive scale. What is the advantage of an additive model in logistic regression over a multiplicative model for which we use log?
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1 vote
1 answer
237 views

Logistic regression - Odds ratio vs Probability

In Logistic regression, the final values we achieve are associated with Probability. Then why do we need Logit/Log of odds? We can directly use probability. Is Logit used to get the equation of a best …
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0 votes
1 answer
137 views

Interpretation of log odds

Equation of log odds: Example: Log odds of getting a heart disease--> 0.8=2.5(Hypertension)+0.3(Gender)+0.06(Age)+15 How is this equation interpreted?
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3 votes
1 answer
562 views

In machine learning, what is the difference between a probabilistic approach and a geometric...

For example: The probabilistic approach of logistic regression involves the MLE (maximum likelihood estimation) maximizing the likelihood function, or in other words, finding the best parameters for t …
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0 votes
2 answers
155 views

Mapping values in Logistic Regression

When mapping probabilities obtained in logistic regression to 0s & 1s using the sigmoid function, we use a threshold value of 0.5. If the predicted probability lies above 0.5, then it gets mapped to 1 …
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0 votes
1 answer
87 views

Logistic Regression mapping formula

Sigmoid function predicts the probability value which is between 0 & 1. What is the formula in logistic regression that maps the predicted probabilities to either 1 or 0?
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1 vote
0 answers
43 views

Meaning of 'Closed Form'

Here's an excerpt from a paper explaining Logistic Regression. What does 'Closed Form' mean in this context? Please explain in simple terms. The definitions online are confusing. Gradient of Log Like …
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0 votes
1 answer
39 views

Checking the interpretation of log odds in logistic regression (with multiple variables)

Here's a log odds equation --> 0.8=2.5(Hypertension)+0.3(Gender)+0.06(Age)+15 Please let me know if my interpretation of it is right --> My interpretation: With one unit change in 'Hypertension', log …
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1 vote
2 answers
3k views

Relation between MLE (Maximum Likelihood Estimation) & Gradient Descent

What are the similarities & dissimilarities between MLE (used to find the best parameters in logistic regression) & Gradient Descent?
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2 votes
2 answers
3k views

MLE & Gradient Descent in Logistic Regression

In Logistic Regression, MLE is used to develop a mathematical function to estimate the model parameters, optimization techniques like Gradient Descent are used to solve this function. Can somebody ple …
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0 votes
1 answer
45 views

Interpreting log odds in case of multiple predictor variables

Interpretation of log odds with a single predictor variable --> 0.8=2.5(Hypertension) The odds of a person with hypertension getting heart disease is 0.8. Log odds with multiple predictor variables -- …
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2 votes
2 answers
3k views

Odds vs Likelihood

Odds is the chance of an event occurring against the event not occurring. Likelihood is the probability of a set of parameters being supported by the data in hand. In logistic regression, we use log o …
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0 votes
1 answer
339 views

Interpretation of Log Odds in Logistic Regression

$\log(\text{odds}) = \text{logit}(P)=ln \big({{P}\over{1-P}}\big)$ $ln\big({{P}\over{1-P}}\big)=\beta_0+\beta_1x$ Consider this example: $0.7=\beta_o+\beta_1(x)+\beta_2(y)+\beta_3(z)$ How can this exp …
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