hich For example, If I use self-sampling to estimate the number of seconds in the year, I will get a correct answer of around several tens of millions. But using word generator will never output a word longer than 100 letters.
Using the month of your birth to estimate the number of seconds in the year also won’t work well, unless you multiply it by number of seconds in a month.
Likewise here. You can estimate the number of months in a year by number of letters in the world and then multiply it by number of seconds in a months.
I didn’t understand your idea here
Consider this.
Parents of person A tried really hard to give birth to A on the first of January and indeed it happened
Person B just so happened to be born on the first of January
Parents of person C tried really hard to give birth to C on the 15th of June and indeed it happened
Person D just so happened to be born on the 15th of June
Here date of births of B and D can be approximated as randomly sampled, while A and C are not. Your test, however will return that C and D can treat themselves as random sample, making both false positive and false negative errors.
This is because your test simply checks the distance from the mean value which, while somewhat correlated to being a result of random sampling, is a completely different thing.
I meant that if I know only the total number of the seconds which passed from the beginning of the year (around 15 million for today of this year) – and I want to predict the total number of seconds in each year. No information about months.
As most people are born randomly and we know it, we can use my date of birth as random. If we have any suspicions about non randomness, we have to take them into account.
Using the month of your birth to estimate the number of seconds in the year also won’t work well, unless you multiply it by number of seconds in a month.
Likewise here. You can estimate the number of months in a year by number of letters in the world and then multiply it by number of seconds in a months.
Consider this.
Parents of person A tried really hard to give birth to A on the first of January and indeed it happened
Person B just so happened to be born on the first of January
Parents of person C tried really hard to give birth to C on the 15th of June and indeed it happened
Person D just so happened to be born on the 15th of June
Here date of births of B and D can be approximated as randomly sampled, while A and C are not. Your test, however will return that C and D can treat themselves as random sample, making both false positive and false negative errors.
This is because your test simply checks the distance from the mean value which, while somewhat correlated to being a result of random sampling, is a completely different thing.
I meant that if I know only the total number of the seconds which passed from the beginning of the year (around 15 million for today of this year) – and I want to predict the total number of seconds in each year. No information about months.
As most people are born randomly and we know it, we can use my date of birth as random. If we have any suspicions about non randomness, we have to take them into account.