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Compound interest. kn. FV = PV × 1 + r 100 k , where FV is the future value, PV is the present value, n is the number of years, k is the number of compounding periods per year, r% is the nominal annual rate of interest. SL. 1.5. Exponents and logarithms. x = b ⇔ x = log b , where a > 0, b > 0, a ≠ 1.
29 kwi 2022 · Student’s t table is a reference table that lists critical values of t. Student’s t table is also known as the t table, t -distribution table, t- score table, t- value table, or t- test table.
FORMULA SHEET FOR T-TESTS I. 1 SAMPLE T-TEST (df = n – 1) Estimated standard error √ = 𝑠2 t-observed t = 𝑀−𝜇 𝑆 Cohen’s estimated d d = 𝑀−µ 𝑠 II. INDEPENDENT SAMPLES T-TEST (df = n1 + n2 – 2) Sum of Squares SS = ∑𝑥2− (∑𝑥)2
14 lip 2007 · t Table cum. prob t.50 t.75 t.80 t.85 t.90 t.95 t.975 t.99 t.995 t.999 t.9995 one-tail 0.50 0.25 0.20 0.15 0.10 0.05 0.025 0.01 0.005 0.001 0.0005 two-tails 1.00 0.50 0.40 0.30 0.20 0.10 0.05 0.02 0.01 0.002 0.001 df 1 0.000 1.000 1.376 1.963 3.078 6.314 12.71 31.82 63.66 318.31 636.62 2 0.000 0.816 1.061 1.386 1.886 2.920 4.303 6.965 9.925 22.327 31.599
Using essentially the same procedures we used with the one sample t test, we can calculate the lower limit (LL) and upper limit (UL). Recall, the general formulas for a confidence interval are: LL = (-crit)*(SE) + mean and UL
To calculate the standard error (𝑆𝐸) specific for the t-Test, we calculate the sample means and the variance (s2) for the two samples being compared—the sample size (n) for each sample must be known: SE = √𝑠1 2 𝑛1 + 𝑠2 2 𝑛2 Thus, the complete equation for the t-Test is: t obs = |𝑥̅1− 𝑥̅2| √𝑠1 2 𝑛1 + 𝑠2 ...
Confidence Intervals. 95% confident that the interval contains the difference between the mean scores. If interval does NOT contain 0 then suggests likely a true difference between groups. Independent groups: CI.95 = M1 – M2 +/- t* (sm1-m2) Where t* is the critical value given df (at α=.05, 2-tailed) Alcohol example:
