Mixing
Modeling a yes/no event
2
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I was wondering what kind of distribution applies to a variable that can have one of two outcomes (say yes or no) but the probability of any of these outcomes is completely random and cannot he determined ?
Example: I am stopping 10,000 people on the street and asking them: are you happy today.
Thank you !
statistics
asked Jan 1 at 14:16
Jay KayJay Kay
112
$endgroup$
add a comment |
2
$begingroup$
I was wondering what kind of distribution applies to a variable that can have one of two outcomes (say yes or no) but the probability of any of these outcomes is completely random and cannot he determined ?
Example: I am stopping 10,000 people on the street and asking them: are you happy today.
Thank you !
statistics
asked Jan 1 at 14:16
Jay KayJay Kay
112
$endgroup$
$begingroup$
Well, isn't this simply a bernoulli process with an unknown success probability? Same as if I handed you a coin, told you that it wasn't necessarily fair, but declined to tell you what the probability of getting Heads was.
$endgroup$
– lulu
Jan 1 at 14:18
2
$begingroup$
And the conjugate prior family for a Bernoulli or binomial random variable are Beta distributions
$endgroup$
– Henry
Jan 1 at 16:15
$begingroup$
Thank you very much. This is extremely useful. Thing is I’m struggling to set up confidence intervals with such an experiment. When using standard distributions it’s very straightforward for me. It would be amazing if you could shed some light on that i.e. testing for statistical significance using a Bernoulli random variable. I’ve actually taken the time to collect this data first hand and am playing around with it. Thank you !
$endgroup$
– Jay Kay
Jan 1 at 20:06
$begingroup$
Also correct me if I’m wrong but a Bernoulli distribution has the same probability p for each outcome (consistent unfairness) but in the case of asking people whether they are happy or not, the probability of their answer (yes/no) is changing all the time since it is a subjective question.
$endgroup$
– Jay Kay
Jan 1 at 20:21
$begingroup$
... it could be a Poisson Binomial Distribution.
$endgroup$
– Jay Kay
Jan 1 at 20:33
add a comment |
2
2
2
1
$begingroup$
I was wondering what kind of distribution applies to a variable that can have one of two outcomes (say yes or no) but the probability of any of these outcomes is completely random and cannot he determined ?
Example: I am stopping 10,000 people on the street and asking them: are you happy today.
Thank you !
statistics
asked Jan 1 at 14:16
Jay KayJay Kay
112
$endgroup$
I was wondering what kind of distribution applies to a variable that can have one of two outcomes (say yes or no) but the probability of any of these outcomes is completely random and cannot he determined ?
Example: I am stopping 10,000 people on the street and asking them: are you happy today.
Thank you !
statistics
statistics
asked Jan 1 at 14:16
Jay KayJay Kay
112
asked Jan 1 at 14:16
Jay KayJay Kay
112
asked Jan 1 at 14:16
Jay KayJay Kay
112
asked Jan 1 at 14:16
Jay KayJay Kay
112
asked Jan 1 at 14:16
Jay KayJay Kay
112
112
$begingroup$
Well, isn't this simply a bernoulli process with an unknown success probability? Same as if I handed you a coin, told you that it wasn't necessarily fair, but declined to tell you what the probability of getting Heads was.
$endgroup$
– lulu
Jan 1 at 14:18
2
$begingroup$
And the conjugate prior family for a Bernoulli or binomial random variable are Beta distributions
$endgroup$
– Henry
Jan 1 at 16:15
$begingroup$
Thank you very much. This is extremely useful. Thing is I’m struggling to set up confidence intervals with such an experiment. When using standard distributions it’s very straightforward for me. It would be amazing if you could shed some light on that i.e. testing for statistical significance using a Bernoulli random variable. I’ve actually taken the time to collect this data first hand and am playing around with it. Thank you !
$endgroup$
– Jay Kay
Jan 1 at 20:06
$begingroup$
Also correct me if I’m wrong but a Bernoulli distribution has the same probability p for each outcome (consistent unfairness) but in the case of asking people whether they are happy or not, the probability of their answer (yes/no) is changing all the time since it is a subjective question.
$endgroup$
– Jay Kay
Jan 1 at 20:21
$begingroup$
... it could be a Poisson Binomial Distribution.
$endgroup$
– Jay Kay
Jan 1 at 20:33
add a comment |
$begingroup$
Well, isn't this simply a bernoulli process with an unknown success probability? Same as if I handed you a coin, told you that it wasn't necessarily fair, but declined to tell you what the probability of getting Heads was.
$endgroup$
– lulu
Jan 1 at 14:18
2
$begingroup$
And the conjugate prior family for a Bernoulli or binomial random variable are Beta distributions
$endgroup$
– Henry
Jan 1 at 16:15
$begingroup$
Thank you very much. This is extremely useful. Thing is I’m struggling to set up confidence intervals with such an experiment. When using standard distributions it’s very straightforward for me. It would be amazing if you could shed some light on that i.e. testing for statistical significance using a Bernoulli random variable. I’ve actually taken the time to collect this data first hand and am playing around with it. Thank you !
$endgroup$
– Jay Kay
Jan 1 at 20:06
$begingroup$
Also correct me if I’m wrong but a Bernoulli distribution has the same probability p for each outcome (consistent unfairness) but in the case of asking people whether they are happy or not, the probability of their answer (yes/no) is changing all the time since it is a subjective question.
$endgroup$
– Jay Kay
Jan 1 at 20:21
$begingroup$
... it could be a Poisson Binomial Distribution.
$endgroup$
– Jay Kay
Jan 1 at 20:33
$begingroup$
Well, isn't this simply a bernoulli process with an unknown success probability? Same as if I handed you a coin, told you that it wasn't necessarily fair, but declined to tell you what the probability of getting Heads was.
$endgroup$
– lulu
Jan 1 at 14:18
$begingroup$
Well, isn't this simply a bernoulli process with an unknown success probability? Same as if I handed you a coin, told you that it wasn't necessarily fair, but declined to tell you what the probability of getting Heads was.
$endgroup$
– lulu
Jan 1 at 14:18
2
2
$begingroup$
And the conjugate prior family for a Bernoulli or binomial random variable are Beta distributions
$endgroup$
– Henry
Jan 1 at 16:15
$begingroup$
And the conjugate prior family for a Bernoulli or binomial random variable are Beta distributions
$endgroup$
– Henry
Jan 1 at 16:15
$begingroup$
Thank you very much. This is extremely useful. Thing is I’m struggling to set up confidence intervals with such an experiment. When using standard distributions it’s very straightforward for me. It would be amazing if you could shed some light on that i.e. testing for statistical significance using a Bernoulli random variable. I’ve actually taken the time to collect this data first hand and am playing around with it. Thank you !
$endgroup$
– Jay Kay
Jan 1 at 20:06
$begingroup$
Thank you very much. This is extremely useful. Thing is I’m struggling to set up confidence intervals with such an experiment. When using standard distributions it’s very straightforward for me. It would be amazing if you could shed some light on that i.e. testing for statistical significance using a Bernoulli random variable. I’ve actually taken the time to collect this data first hand and am playing around with it. Thank you !
$endgroup$
– Jay Kay
Jan 1 at 20:06
$begingroup$
Also correct me if I’m wrong but a Bernoulli distribution has the same probability p for each outcome (consistent unfairness) but in the case of asking people whether they are happy or not, the probability of their answer (yes/no) is changing all the time since it is a subjective question.
$endgroup$
– Jay Kay
Jan 1 at 20:21
$begingroup$
Also correct me if I’m wrong but a Bernoulli distribution has the same probability p for each outcome (consistent unfairness) but in the case of asking people whether they are happy or not, the probability of their answer (yes/no) is changing all the time since it is a subjective question.
$endgroup$
– Jay Kay
Jan 1 at 20:21
$begingroup$
... it could be a Poisson Binomial Distribution.
$endgroup$
– Jay Kay
Jan 1 at 20:33
$begingroup$
... it could be a Poisson Binomial Distribution.
$endgroup$
– Jay Kay
Jan 1 at 20:33
add a comment |
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$begingroup$
Well, isn't this simply a bernoulli process with an unknown success probability? Same as if I handed you a coin, told you that it wasn't necessarily fair, but declined to tell you what the probability of getting Heads was.
$endgroup$
– lulu
Jan 1 at 14:18
2
$begingroup$
And the conjugate prior family for a Bernoulli or binomial random variable are Beta distributions
$endgroup$
– Henry
Jan 1 at 16:15
$begingroup$
Thank you very much. This is extremely useful. Thing is I’m struggling to set up confidence intervals with such an experiment. When using standard distributions it’s very straightforward for me. It would be amazing if you could shed some light on that i.e. testing for statistical significance using a Bernoulli random variable. I’ve actually taken the time to collect this data first hand and am playing around with it. Thank you !
$endgroup$
– Jay Kay
Jan 1 at 20:06
$begingroup$
Also correct me if I’m wrong but a Bernoulli distribution has the same probability p for each outcome (consistent unfairness) but in the case of asking people whether they are happy or not, the probability of their answer (yes/no) is changing all the time since it is a subjective question.
$endgroup$
– Jay Kay
Jan 1 at 20:21
$begingroup$
... it could be a Poisson Binomial Distribution.
$endgroup$
– Jay Kay
Jan 1 at 20:33