Finding the T-SCORE: a sample report.pptx

CarloAnthonyDalogdog2 56 views 9 slides Mar 15, 2024
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About This Presentation

Solving for T-score.


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T-SCORE Carlo Anthony D. Dalogdog

T-SCORE T-scores are standard scores on each dimension for each type. A score of 50 represents the mean. A difference of 10 from the mean indicates a difference of one standard deviation. Thus, a score of 60 is one standard deviation above the mean, while a score of 30 is two standard deviations below the mean. We can see that a T-score of 60 would be equivalent to a Z-score of 1.

A  standard deviation  is how far from the population mean a point would have to be to fall outside of the middle 68.2% of the data in a  normal  (i.e., bell curve) distribution. On either side of the mean, the first standard deviation contains 34.1% of the data, the second has 13.6%, and the third has 2.1%. Because those percentages are for one side of the mean, doubling them gives the total percentage of the data that falls within a given number of standard deviations bidirectionally. In this figure,  μ  is the mean and  σ  means a standard deviation.

When learning how to find t-score, first learn what each term in the equation stands for: X̄ is the sample mean. It is the average value of the data points. μ is the population mean. S is the standard deviation of the sample. n is the sample size, i.e., how many data points are in the sample. How to calculate t-score

X̄ is the sample mean. It is the average value of the data points. μ is the population mean. S is the standard deviation of the sample. n is the sample size, i.e., how many data points are in the sample. Example: Healthy people dream, on average, 90 minutes each night. An investigator wants to determine if coffee affects this rate. He gives 28 people 2 cups of coffee before bed and monitors their dream states. He finds, on average, 88 minutes with standard deviation of 9 minutes.

X̄ is the sample mean. It is the average value of the data points. μ is the population mean. S is the standard deviation of the sample. n is the sample size, i.e., how many data points are in the sample. Example: Substitute the given value: X̄ = 88 μ = 90 S = 9 n = 28 T= 88-90 9/√28 T= 88-90 9/5.29 T= 88-90 1.70 T= -2 1.70 T= -1.1

Stanine Stanine is a type of scaled score used in many norm referenced standardized test. There are nine stanine units or “standard nine-point scale”, ranging from 9-1. (9, 8, 7)- above average (6, 5, 4)- average (3, 2, 1)- below average

Why we calculate a t-score?

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