# Questions tagged [odds]

The odds of an event is the ratio of the probability that the event will happen (p) to the probability that it will not happen (1-p).

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### Interpretation of coin toss: odds of getting a tail in two coin flips

Let's say someone asks me: What are the odds of getting a tail when a coin is flipped twice? Assuming the coin is fair and tosses are independent, I see two ways of solving this problem: If we ...
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### Use of weights in a binomial model, with the response no longer a proportion

I am studying the factors that influence mosquito feeding behavior. In the experiments, N mosquitoes are exposed to a host for a duration t. At the end of this exposure, we count how many mosquitoes (...
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### Convert β to odds ratio?

I would like to convert β-values into odds ratios. It is about table 1 on page 5 in the article „A revised inventory of Adverse Childhood Experiences“ https://www.semanticscholar.org/paper/A-revised-...
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### Beta regression: slope of scaled predictor

I want to fit a beta regression with an scaled continuous predictor, and express the slope in terms of proportion (not at the transformed, log-odds scale). In other words, I would like to express the ...
38 views

### Correct interpretation of a logistic regression coefficient

I have a simple confusion regarding the interpretation of logistic regression. Suppose married people are more likely to be employed compared to single people. In here, unemployment = 0, employment = ...
1 vote
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### Risk ratio or odds ratio?

I have a question which may seem stupid. This is for a retrospective cohort study. I have a table like this for my outcome: Among the 20,000 patients in group A, 4671 are dead (23.55%). Among 50,000 ...
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### How to calculate the increased likelihood of drawing a type of item from a supply of mixed item types after adding more of a specific items type?

There is a board game, The Castles of Burgundy, which has a supply of 40 "black market" tiles, of which 16 are beige, 8 green, 2 gray, 6 blue, 6 yellow, and 2 burgundy. The game takes place ...
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### Scaling odds ratios and converting them to probability

I'm trying to calculate a scaled odds ratio and convert them into percentages for an analysis I am doing. I have just one independent variable in the model, SAT score. Dependent variable is college ...
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### model formulas for glmer

I have a glmer (library lme4) logit model that I conducted in R. I have very basic knowledge in stats and glmm models are completely new to me. My Models in R basically are like this: ...
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### Color sequence odds on roulette [duplicate]

Consider a fair roulette game with 18 red numbers, 18 black numbers and 1 green zero. At each round, the probability of winning by betting on red or black is 18/37, which is 48.6%. If we play a lot of ...
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### How do payouts for bets change as the odds change?

Say that there's a horse race between the two horses Alice and Bob. People bet on which horse will win. The "house" is taking no money off the top, so basically it's a direct transfer where ...
1 vote
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### Does testing the statistical significance of an odds ratio always produce a smaller p-value than a z-score obtained from the test of two proportions?

I have a question regarding the significance testing of an adjusted odds ratio vs. the significance testing of the adjusted difference between two proportions using a z-score. This is following the ...
1 vote
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### Calculate difference in log odds between two logistic regression models

I would like to calculate the difference in log-odds between the error of two logistic regression models, given the correct answer aka ground truth (depression present${}= 1;$ depression absent${} = 0$...
1 vote
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### Should the odds ratio be used to judge incremental information in psychological scales?

I am looking at the incremental validity of the MMPI-A-RF (a psychological instrument) and MACI (another psychological instrument) in the prediction of the DSM code for depression disorders found in ...
1 vote
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### Score for over/under representations of a variable in sub-group

I have a corpus of book publications split into different clusters. I have information about the nationality of the authors (variable A) and the nationality of the publishing company (variable B). In ...
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### Interpretation of continuous variable in an odds ratio for logistic regression

I have an odds ratio of 1.02 for x variable (Age, a continuous variable measured in units "1 year"). My response variable is Y. I would interpret this as for every increase in Age by 1 year ...
1 vote
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### Log of the odds in Logistic Regression

In simple logistic regression i noticed that many researcher neglect the constant part of the logistic regression equation. Log(odds) = a + b Gender (say that 0 = Female and 1 = Male) So the log of ...
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### Intuition of the log odds linearity assumption for logistic regression

I'm currently having trouble understanding the assumption of logistic regression that the input variables must be linearly related to the log odds. Specifically, what actually happens to the model ...
1 vote
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### D&D Probability question: why am I wrong?

In Dungeons and Dragons, the primary die used for success or failure is the D20, or 20 sided die. A 1 is a critical failure, and a 20 is a critical success. When one has advantage, one rolls 2 dice ...
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### Interpretation of Odds Ratio (OR) in Fisher's exact test

I've tried using R operating Fisher's exact test to test for independence of the 2 datasets below and struggling to interpret the Fisher report. Please have a look at the data and the Fisher's test ...
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### Probability your name will be drawn out of a hat without replacement

Let's say you put your name in a hat with 7 other names (n=8). Only 4 names will be drawn from said hat. Each name will be drawn one at a time, without replacement. What is the probability that your ...
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### Flipping Coins : Probability of Sequences vs Probability of Individuals

Here is a problem I thought of: Suppose I am watching someone flip a fair coin. Each flip is completely independent from the previous flip. I watch this person flip 3 consecutive heads. I interrupt ...
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### Chances of four people being drawn together

There are eight people in a golf group. There is going to be a draw to split them into two groups of four. There are four people within the group who would like to be drawn together. What are the odds ...
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### What are the odds of 8 being drawn out of a group of 10 digits 5 times in 8 tries? [closed]

I am wanting to know the odds of something happening. What are the odds of 8 being drawn out of a group of 10 digits 5 times in 8 tries?
1 vote
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### meanBEINF vs predict(model, type = "response') in BEINF GAMLSS. and determining odds of predictor variable coefficient

A variation of this question has been asked, but certain items remain unanswered - I am modeling the proportion of mortality (Prop) using a single continuous predictor variable which is temperature (...
1 vote