M7 Assignment 3: Course Project Task XII

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4- Write up the results of your prescreening of the data:

b- Report the descriptive statistics for each of the continuous variables in the set

Statistics
	Beck Depression Inventory Score at Current Intake	Full-Scale IQ Score	Age at time of first diagnosis with depression (mood disorder)	Number of Yrs of completed education	Beck Depression Inventory Score at end of 12 wks	Total Self-Efficacy Score
N	Valid	60	59	59	60	60	60
	Missing	29	30	30	29	29	29
Mean	36.60	99.83	24.90	12.87	33.85	39.20
Median	36.00	99.00	22.00	13.00	29.00	40.00
Mode	34a	90	18	12	26	26a
Std. Deviation	6.510	7.618	12.299	1.455	26.776	11.115
Variance	42.380	58.040	151.265	2.118	716.977	123.553
Minimum	25	89	9	10	15	19
Maximum	56	122	50	17	230	65
Sum	2196	5890	1469	772	2031	2352
a. Multiple modes exist. The smallest value is shown

c- Report separately the results of your evaluations for outliers and normality for each of the continuous variables.

· Evaluation for normality

Descriptives
	Statistic	Std. Error
Beck Depression Inventory Score at Current Intake	Mean	36.60	0.840
	95% Confidence Interval for Mean	Lower Bound	34.92
		Upper Bound	38.28
	5% Trimmed Mean	36.43
	Median	36.00
	Variance	42.380
	Std. Deviation	6.510
	Minimum	25
	Maximum	56
	Range	31
	Interquartile Range	8
	Skewness	0.522	0.309	1.689489154
	Kurtosis	0.127	0.608	0.208151504
Full-Scale IQ Score	Mean	99.83	0.992
	95% Confidence Interval for Mean	Lower Bound	97.85
		Upper Bound	101.82
	5% Trimmed Mean	99.46
	Median	99.00
	Variance	58.040
	Std. Deviation	7.618
	Minimum	89
	Maximum	122
	Range	33
	Interquartile Range	10
	Skewness	0.540	0.311	1.73673576
	Kurtosis	0.027	0.613	0.043359926
Age at time of first diagnosis with depression (mood disorder)	Mean	24.90	1.601
	95% Confidence Interval for Mean	Lower Bound	21.69
		Upper Bound	28.10
	5% Trimmed Mean	24.35
	Median	22.00
	Variance	151.265
	Std. Deviation	12.299
	Minimum	9
	Maximum	50
	Range	41
	Interquartile Range	18
	Skewness	0.820	0.311	2.635926975760990
	Kurtosis	-0.426	0.613	-0.694504139
Number of Yrs of completed education	Mean	12.87	0.188
	95% Confidence Interval for Mean	Lower Bound	12.49
		Upper Bound	13.24
	5% Trimmed Mean	12.80
	Median	13.00
	Variance	2.118
	Std. Deviation	1.455
	Minimum	10
	Maximum	17
	Range	7
	Interquartile Range	2
	Skewness	0.615	0.309	1.992929283
	Kurtosis	0.115	0.608	0.189036631
Beck Depression Inventory Score at end of 12 wks	Mean	33.85	3.457
	95% Confidence Interval for Mean	Lower Bound	26.93
		Upper Bound	40.77
	5% Trimmed Mean	30.69
	Median	29.00
	Variance	716.977
	Std. Deviation	26.776
	Minimum	15
	Maximum	230
	Range	215
	Interquartile Range	10
	Skewness	6.868	0.309	22.2499658
	Kurtosis	50.895	0.608	83.64115549
Total Self-Efficacy Score	Mean	39.20	1.435
	95% Confidence Interval for Mean	Lower Bound	36.33
		Upper Bound	42.07
	5% Trimmed Mean	39.09
	Median	40.00
	Variance	123.553
	Std. Deviation	11.115
	Minimum	19
	Maximum	65
	Range	46
	Interquartile Range	18
	Skewness	-0.018	0.309	-0.057829225
	Kurtosis	-0.767	0.608	-1.261135222

Conclusion according to skewness and kurtosis the data are little skewed and kurtotic, but it does not differ significantly from normality, except the variable of Beck Depression Inventory Score at end of 12 wks has large skewed and kurtotic.

We can assume that our data are approximately normal distributed, in term of skewness and kurtosis except the variable of Beck Depression Inventory Score at end of 12 wks.

· evaluations for outliers