STATCRUNCH ESTIMATION 1


 Linette Alexis Hubbard
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1 STATCRUNCH ESTIMATION 1 example 6.24, page 183 discusses CONFIDENCE intervals... here is that example done in StatCrunch after entering the data in column 1 (and I also renamed the column to temperature), click on STAT / T STATISTICS / ONE SAMPLE / WITH DATA then select temperature and click on NEXT (DO NOT CLICK ON CALCULATE) select CONFIDENCE INTERVAL (you can leave the LEVEL at 0.95), then click on CALCULATE
2 STATCRUNCH ESTIMATION 2 you should see the results on the right... they match the results in Riosner but have a few more decimal places example 6.35 uses the same data, but says to assume you have N=100, not N=10... you have the MEAN, STANDARD DEVIATION, and N so instead of selecting WITH DATA, select WITH SUMMARY fill in the values and click on NEXT
3 STATCRUNCH ESTIMATION 3 select CONFIDENCE BAND and click on CALCULATE again, you see the same values as found in Rosner (again, with more decimal places)
4 STATCRUNCH ESTIMATION 4 table 6.5 on page 189 shows you data from a t distibution, from table 5 in the appendix you can also use StatCrunch to determine these values start with STAT / CALCULATORS / T NOTE: this allows you to get values for degrees of freedom that are not in table 5 in Rosner if you then enter 29 for DF and 0.975in the box on the lower right and click on calculate, you will see Prob(X<= ) the same number you see in Rosner TRY THIS WITH THE OTHER DF IN THAT TABLE (4 and 9) Rosner labels that column d, but it really is DF for degrees of freedom
5 STATCRUNCH ESTIMATION 5 example 6.49 calculates a confidence interval for a proportion using a normal approximation you can also try StatCrunch to do this select STAT / PROPORTIONS / ONE SAMPLE / WITH SUMMARY fill in the values and click on NEXT (NOT CALCULATE) you can see N on page 206 and it is 10, since P=0.04, the number of success was 400 (or you can see those two numbers on page 205 in example 6.48 s elect CONFIDENCE INTERVAL and make sure that the METHOD says STANDARD WALD that method uses a normal approximation to determine the confidence interval then click CALCULATE
6 STATCRUNCH ESTIMATION 6 you will see the same confidence interval that is shown in Rosner example 6.51 on page 208 asks for an EXACT CONFIDENCE INTERVAL and Rosner furst uses Table 7A in the appendix, and then uses Excel the tables in the appendix are a left over from pre computer days and NO ONE SHOULD EVER USE THOSE CURVES to calculate EXACT limits... you can (and SHOULD) use StatCrunch (more exact than the curves and a LOT easier than the Excel method shown in Rosner) do the same steps as the normal approximation (STAT / PROPORTIONS / ONE SAMPLE / WITH DATA, and then fill in the number of SUCCESSES (2) and OBSERVATIONS (20)... those numbers are in example 6.50 on page 207 HOWEVER, this time make sure that the METHOD says AGRESTI COULI that method is an EXACT method then click CALCULATE you will see results that are very close to those shown in Rosner try example 6.52, EXACT 99% (not (95%) limits make sure you change the 0.95 to 0,99 and also make sure you use the AGRESTI COULI method
7 STATCRUNCH ESTIMATION 7 example 6.40 shows percentiles from a ch square distribution found in table 6 in the appendix you can also use StatCrunch select STAT / CALCULATORS / CHI SQUARE if you enter 10 for DF and then use the box on the lower right to fill in first then 0.25, you will see the values you see on page 199 in Rosner (make sure that the symbol after PROB is <=)
8 STATCRUNCH ESTIMATION 8 example 6.41 calculates a confidence interval on a variance you can do that in StatCrunch select STAT / VARIANCE / ONE SAMPLE / WITH SUMARY fill in the values and click on NEXT select CONFIDENCE INTERVAL then click on CALCULATE
9 STATCRUNCH ESTIMATION 9 the answer matches the values in ROSNER NOTE: there is no calculator in StatCrunch for a confidence interval on a standard deviation however, as pointed out on page 201 in Rosner in example 6.41, you can calculate a confidence interval on a variance, then take the square root of the lower and upper limits to get a band on the standard deviation
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