var myValue = new Date(year, month, day).valueOf() / 1000;\n\t\t\t\n\t\t\tvar dateValue = new Date(myValue * 1000);\n\t\t\tvar dayOfWeek = daysOfWeek[dateValue.getDay()];\n\t\t\t\n\t\t\tvar result = myValue / 31556926;\n\t\t\t\n\t\t\tdocument.getElementById(‘dayOfWeekResult’).innerHTML = dayOfWeek;\n\t\t\tdocument.getElementById(‘dayNumberResult’).innerHTML = Math.floor(myValue);\n\t\t\tdocument.getElementById(‘yearFractionResult’).innerHTML = result;\n\t\t\tdocument.getElementById(‘results’).style.display = ‘block’;\n\t\t}\n\t\t\n\t\n\t
\n\t\tZ-Score from Probability Calculator
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Calculate the Z-Score given the probability (area under the curve).
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Calculation Results
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Visual Representation
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How the Calculation Works
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The Z-score (or standard score) measures how many standard deviations a specific value is from the mean of a dataset. For a standard normal distribution:
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Formula: $Z = \\Phi^{-1}(P)$
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Where $P$ is the cumulative probability (area under the curve to the left of the Z-score), and $\\Phi^{-1}$ is the inverse cumulative distribution function (also known as the probit function).
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To find the Z-score, we look up the given probability in the inverse normal distribution table or use a statistical function that provides the corresponding Z-value.
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Example: If the probability is 0.975, it means 97.5% of the data falls below this value. The corresponding Z-score is approximately 1.96.
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