Glaucoma is a leading cause of blindness in the United States, N. Ehlers measured the difference in corneal thickness (in microns) between the two eyes of eight patients. Each patient had one eye that had glaucoma and one eye that was normal. The difference was measured as the corneal thickness of normal eye – corneal thickness of eye with Glaucoma. Corneal thickness is important because it can mask an accurate reading of eye pressure. Question:If the t statistic falls below the effect size in which we reject the null, but the p value is greater than 0.05. Do i reject the null? As my scenario had no population mean because the differences were recorded, do i set a test value of 10 or keep it at 0?

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Glaucoma is a leading cause of blindness in the United States, N. Ehlers measured
the difference in corneal thickness (in microns) between the two eyes of eight patients.
Each patient had one eye that had glaucoma and one eye that was normal. The
difference was measured as the corneal thickness of normal eye – corneal thickness
of eye with Glaucoma. Corneal thickness is important because it can mask an
accurate reading of eye pressure.

Question:If the t statistic falls below the effect size in which we reject the null, but the p value is greater than 0.05. Do i reject the null? As my scenario had no population mean because the differences were recorded, do i set a test value of 10 or keep it at 0?

One-Sample Statistics
N
Mean
Std. Deviation Std. Error Mean
Corneal thickness
difference (normal-
graucoma) microris
8
4.0000
10.74377
3.79850
One-Sample Test
Test Value = 0
95% Confidence Interval of the
Significance
Mean
Difference
t
df
One-Sided p Two-8ided p
Difference
Lower
Upper
Corneal thickness
difference (normal-
glaucoma) microns
1.053
7
.164
.327
4,00000
-4.9820
12.9820
One-Sample Effect Sizes
95% Confidence Interval
Standardizer Point Estimate
Lower
Upper
Corneal thickness
ditference. (narraal-
diaucoma)'mıreroris
Cohen's d
10.74377
372
-.359
1.079
Hedges correction
12.09607
.331
-319
.958
a. The denorninator used in estimating the effect sizes.
Cohen's d'uses the sample standard deviation.
Hedges' correction uses the sample standard deviation, plus a correction factor.
Transcribed Image Text:One-Sample Statistics N Mean Std. Deviation Std. Error Mean Corneal thickness difference (normal- graucoma) microris 8 4.0000 10.74377 3.79850 One-Sample Test Test Value = 0 95% Confidence Interval of the Significance Mean Difference t df One-Sided p Two-8ided p Difference Lower Upper Corneal thickness difference (normal- glaucoma) microns 1.053 7 .164 .327 4,00000 -4.9820 12.9820 One-Sample Effect Sizes 95% Confidence Interval Standardizer Point Estimate Lower Upper Corneal thickness ditference. (narraal- diaucoma)'mıreroris Cohen's d 10.74377 372 -.359 1.079 Hedges correction 12.09607 .331 -319 .958 a. The denorninator used in estimating the effect sizes. Cohen's d'uses the sample standard deviation. Hedges' correction uses the sample standard deviation, plus a correction factor.
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