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  1. R

    Numbers of double-headed, double-tailed, and normal coins based on one toss per coin

    I get that it's a form of abductive inference (inference to the best explanation). I misunderstood what you were giving the value 1, namely the data given the explanation, rather than the explanation itself. Very much my mistake! Is there a formula that a stupid person can understand for...
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    Numbers of double-headed, double-tailed, and normal coins based on one toss per coin

    Are the following all equally likely (see katxt's post above)? 90 double-headed, 10 double-tailed 89 double-headed, 9 double-tailed, 2 normal 88 double-headed, 8 double-tailed, 4 normal 87 double-headed, 7 double-tailed, 6 normal ... 80 double-headed, 0 double-tailed, 20 normal
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    Numbers of double-headed, double-tailed, and normal coins based on one toss per coin

    Ha! That's the explanation missing from a reply to the same question on another forum. But does it have things the wrong way round? My question is about the probability of having 90 double-headed coins and 10 double-tailed coins given that I've thrown 90 heads and 10 tails. Your answer looks to...
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    Calculating the probability that survey responses are arbitrary

    But group comparisons aren't going to help me work out how many of the 64 Yes responses and 136 No responses to the first question are due to chance. Or are they?
  5. R

    Numbers of double-headed, double-tailed, and normal coins based on one toss per coin

    Suppose I have a large jar of evenly weighted coins. I know that some of the coins are double-headed, some of them are double-tailed, and some of them are normal, but I've no idea how many. I draw 100 coins at random and toss each coin once, throwing 90 heads and 10 tails. What can be said about...
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    Calculating the probability that survey responses are arbitrary

    Yes, I suppose what I need is a way of asking each participant the same question repeatedly while erasing their memory of their previous responses. What I have at the moment is a single instant per participant.
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    Calculating the probability that survey responses are arbitrary

    @Karabiner. I was actually trying to simplify things in my original post, but since you ask ... The research question is about the relationship between people's judgements about reasons and the way sentences about reasons are phrased. In the study, 600 participants were presented with the same...
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    Calculating the probability that survey responses are arbitrary

    I have a set of 200 responses to a Yes/No survey question: 160 Yes; 40 No. Any number of the responses (between 0 and 200) could be honest and truthful, and the rest will be arbitrary. Is there any way to calculate the probability that all the No responses are arbitrary? Does the question even...
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    Probability of throwing n different numbers in m throws of a dice

    Folks I know how to calculate the probability of throwing the same number in every throw of a dice (die, if you prefer!), and I know how to calculate the probability of throwing a different number in each throw of a dice. But how do I calculate the probability of throwing n different numbers...
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    Calculation of expected values for chi-squared test

    Folks I need to work out the probability that a set of survey results occurred by chance, and I intend to use a chi-squared test. However, I haven't studied mathematics formally since I was 16, and I need someone to confirm whether my calculations of expected values are accurate and, if not...