Hi Pixel,
I have had a look at the tables you have linked to and my numbers match up. For a 50:50 on the 10000 table it would have to be greater than 25 correct predictions to pass the 10000 to 1 criteria that the JREF have set.
p(=24): 0.000553; p(>24): 0.000162
p(=25): 0.000133; p(>25): 3.0E-5
p(=26): 2.6E-5; p(>26): 4.0E-6
p(=27): 4.0E-6; p(>27): 0
p(=28): 0; p(>28): 0
p(=25): 0.000133; p(>25): 3.0E-5
p(=25): 0.000133 = 7518 to 1 and p(>25): 3.0E-5 (26 or more) = 33333 to one so the 10000 break point would be between 25 out of 30 and 26 out of thirty, in other words 26 correct predictions out of thirty would be greater than 10000 to one and good enough for a JREF application. 26 out of 30 (p(=26): 2.6E-5) is actually about 38000 to 1 but as 25 out of 30 is 7518 to 1 then I have to reach at least 26 to qualify.
I prefer the method above as I can calculate the actual statistical probability of my actual results accurately as I perfect my tests but at least my numbers have now been confirmed as correct so far.
If a poly was used with 20% error rate (or GSR if it gives similar predictable results once the problems are ironed out) then the charts would be on the 20% level. Only 8 out of 10 correct answers would be required to reach the 10000 point.
p(=5): 0.026424; p(>5): 0.006369
p(=6): 0.005505; p(>6): 0.000864
p(=7): 0.000786; p(>7): 7.8E-5
p(=8): 7.4E-5; p(>8): 4.0E-6
p(=9): 4.0E-6; p(>9): 0
p(=7): 0.000786 is 1272 to 1 and p(=8): 7.4E-5 is about 13500 to 1 – reaching a greater than 10000 to 1 point.
And you are wrong dlorde, statistically two out of two tests at 50% chance is correct at 75% probability that I am telepathic but who would rely on such a small sample size and say it is valid? 10000 to 1 or 99.99% certainty is the target to reach before the JREF will acknowledge that I am telepathic, not 75% probability that I am based on two 50:50 tests.
p(=0): 0.25; p(>0): 0.75
p(=1): 0.5; p(>1): 0.25
p(=2): 0.25; p(>2): 0
p(=2): 0.25 = 25% error, 75% probable – not enough samples to make the data reliable though.
golfy
I have had a look at the tables you have linked to and my numbers match up. For a 50:50 on the 10000 table it would have to be greater than 25 correct predictions to pass the 10000 to 1 criteria that the JREF have set.
p(=24): 0.000553; p(>24): 0.000162
p(=25): 0.000133; p(>25): 3.0E-5
p(=26): 2.6E-5; p(>26): 4.0E-6
p(=27): 4.0E-6; p(>27): 0
p(=28): 0; p(>28): 0
p(=25): 0.000133; p(>25): 3.0E-5
p(=25): 0.000133 = 7518 to 1 and p(>25): 3.0E-5 (26 or more) = 33333 to one so the 10000 break point would be between 25 out of 30 and 26 out of thirty, in other words 26 correct predictions out of thirty would be greater than 10000 to one and good enough for a JREF application. 26 out of 30 (p(=26): 2.6E-5) is actually about 38000 to 1 but as 25 out of 30 is 7518 to 1 then I have to reach at least 26 to qualify.
I prefer the method above as I can calculate the actual statistical probability of my actual results accurately as I perfect my tests but at least my numbers have now been confirmed as correct so far.
If a poly was used with 20% error rate (or GSR if it gives similar predictable results once the problems are ironed out) then the charts would be on the 20% level. Only 8 out of 10 correct answers would be required to reach the 10000 point.
p(=5): 0.026424; p(>5): 0.006369
p(=6): 0.005505; p(>6): 0.000864
p(=7): 0.000786; p(>7): 7.8E-5
p(=8): 7.4E-5; p(>8): 4.0E-6
p(=9): 4.0E-6; p(>9): 0
p(=7): 0.000786 is 1272 to 1 and p(=8): 7.4E-5 is about 13500 to 1 – reaching a greater than 10000 to 1 point.
And you are wrong dlorde, statistically two out of two tests at 50% chance is correct at 75% probability that I am telepathic but who would rely on such a small sample size and say it is valid? 10000 to 1 or 99.99% certainty is the target to reach before the JREF will acknowledge that I am telepathic, not 75% probability that I am based on two 50:50 tests.
p(=0): 0.25; p(>0): 0.75
p(=1): 0.5; p(>1): 0.25
p(=2): 0.25; p(>2): 0
p(=2): 0.25 = 25% error, 75% probable – not enough samples to make the data reliable though.
golfy