Example of List of Data_ Page 1 ID ________ JEWCULT ________ JEWFRNDS ________ SELFJEW ________ CHEAP ________ WSNOBS ________ ECONWELL ________ REPPERSC ________ DISCTODY ________ OPENEND ________ 101.00 102.00 103.00 104.00 105.00 106.00 107.00 108.00 109.00 110.00 201.00 202.00 203.00 204.00 205.00 206.00 207.00 208.00 209.00 210.00 301.00 302.00 303.00 304.00 305.00 306.00 307.00 308.00 309.00 310.00 4.00 4.00 5.00 5.00 4.00 5.00 4.00 2.00 3.00 1.00 2.00 2.00 2.00 1.00 1.00 2.00 5.00 2.00 2.00 5.00 2.00 2.00 2.00 2.00 4.00 2.00 4.00 5.00 4.00 2.00 3.00 5.00 4.00 5.00 5.00 5.00 5.00 3.00 2.00 4.00 3.00 3.00 2.00 1.00 1.00 3.00 4.00 2.00 5.00 5.00 2.00 2.00 2.00 2.00 3.00 2.00 5.00 5.00 5.00 2.00 3.00 2.00 2.00 3.00 1.00 3.00 3.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 3.00 1.00 1.00 3.00 1.00 1.00 1.00 1.00 1.00 1.00 3.00 3.00 3.00 1.00 2.00 4.00 3.00 3.00 3.00 3.00 4.00 4.00 3.00 3.00 2.00 4.00 5.00 3.00 3.00 5.00 3.00 5.00 3.00 4.00 5.00 4.00 5.00 5.00 3.00 2.00 4.00 5.00 3.00 4.00 3.00 3.00 3.00 3.00 3.00 2.00 4.00 4.00 4.00 3.00 3.00 3.00 5.00 3.00 4.00 4.00 3.00 5.00 2.00 5.00 5.00 4.00 5.00 5.00 4.00 2.00 4.00 4.00 3.00 3.00 3.00 3.00 3.00 5.00 4.00 4.00 3.00 2.00 4.00 4.00 4.00 4.00 1.00 3.00 3.00 1.00 4.00 1.00 4.00 4.00 1.00 4.00 2.00 2.00 4.00 4.00 2.00 2.00 4.00 3.00 4.00 4.00 4.00 4.00 4.00 5.00 4.00 2.00 1.00 4.00 3.00 2.00 5.00 4.00 4.00 5.00 3.00 4.00 4.00 4.00 4.00 3.50 4.00 5.00 4.00 5.00 4.00 5.00 3.50 4.00 1.00 3.00 2.00 2.00 3.00 4.00 2.00 2.00 2.00 3.00 3.00 2.00 5.00 4.00 2.00 5.00 2.00 2.00 4.00 3.00 1.00 4.00 4.00 3.00 2.00 2.00 2.00 4.00 4.00 3.00 1.00 4.00 3.00 4.00 1.00 4.00 3.00 . 3.00 3.00 4.00 4.00 3.00 2.00 . 3.00 4.00 . 3.00 4.00 3.00 2.00 3.00 2.00 3.00 4.00 4.00 3.00 4.00 4.00 _ Example of Frequency for Item with No Problem of Variability JEWFRNDS Valid 1.00 2.00 3.00 4.00 5.00 Total Frequency Percent 2 9 6 3 10 30 6.7 30.0 20.0 10.0 33.3 100.0 Valid Percent 6.7 30.0 20.0 10.0 33.3 100.0 Cumulative Percent 6.7 36.7 56.7 66.7 100.0 Example of Frequency Table for relatively low variability: 85% of cases are in categories 4 & 5, 2/3 in 4. Possible problem. THREAT Frequency Percent Valid Cumulative Percent Percent Valid 1.00 1 2.6 2.6 2.6 2.00 2 5.1 5.1 7.7 3.00 3 7.7 7.7 15.4 4.00 26 66.7 66.7 82.1 5.00 7 17.9 17.9 100.0 Total 39 100.0 100.0 Example of Frequency Table with serious variability problem THREAT Valid 1.00 2.00 3.00 4.00 5.00 Total Frequency Percent 0 0 0 36 3 39 0 0 0 92.3 7.7 100.0 Valid Percent 0 0 0 92.3 7.7 100.0 Cumulative Percent 0 0 0 92.3 100.0 Example of Reliability That “Looks Good” ****** Method 2 (covariance matrix) will be used for this analysis ****** _ R E L I A B I L I T Y 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. NEEDWAR REMAIN BLEMISH PEACE THREAT SUFFER SAFER MEDIA PRIVACY ASHAMED NEGOPIN A N A L Y S I S - S C A L E Mean Std Dev Cases 3.6410 3.0769 3.1282 2.4872 3.9231 3.0641 2.8205 2.9231 2.9103 3.4359 2.6667 1.3667 1.2005 1.0804 1.0227 .8393 1.2470 .9966 1.1094 1.2767 1.2523 1.2425 39.0 39.0 39.0 39.0 39.0 39.0 39.0 39.0 39.0 39.0 39.0 (A L P H A) Correlation Matrix NEEDWAR REMAIN BLEMISH PEACE THREAT SUFFER SAFER MEDIA PRIVACY ASHAMED NEGOPIN SUFFER SAFER MEDIA PRIVACY ASHAMED NEGOPIN NEEDWAR REMAIN BLEMISH PEACE THREAT 1.0000 .7711 .5310 .6180 .4341 .5312 .4924 .6756 .4034 .7397 .5476 1.0000 .4994 .6546 .2672 .5240 .6937 .6566 .3738 .7823 .5645 1.0000 .3469 .3594 .4235 .3641 .6232 .1707 .5411 .5227 1.0000 .2594 .4185 .5270 .4746 .3569 .6929 .3383 1.0000 .2060 .2977 .2478 .1776 .3082 .3533 SUFFER SAFER MEDIA PRIVACY ASHAMED 1.0000 .5283 .6504 .2103 .6136 .5577 1.0000 .5108 .1938 .6337 .5454 1.0000 .4316 .7446 .6109 1.0000 .4778 .2378 1.0000 .6032 NEGOPIN NEGOPIN 1.0000 _ R E L I A B I L I T Y N of Cases = Statistics for Scale Mean 34.0769 A N A L Y S I S - S C A L E (A L P H A) 39.0 N of Variables 11 Variance 85.8492 Std Dev 9.2655 Scale Mean if Item Deleted Scale Variance if Item Deleted Corrected ItemTotal Correlation 30.4359 31.0000 30.9487 31.5897 30.1538 31.0128 31.2564 31.1538 31.1667 30.6410 31.4103 66.1603 68.2763 73.6420 73.4720 79.3573 70.8485 73.6299 69.8836 75.2149 66.5388 70.3667 Item-total Statistics NEEDWAR REMAIN BLEMISH PEACE THREAT SUFFER SAFER MEDIA PRIVACY ASHAMED NEGOPIN Reliability Coefficients Alpha = .9110 .8016 .8131 .5953 .6463 .3870 .6405 .6564 .7944 .4066 .8685 .6687 11 items Standardized item alpha = Squared Multiple Correlation Alpha if Item Deleted .7297 .7721 .4834 .5586 .3043 .5195 .5968 .7121 .3213 .7856 .5307 .8948 .8946 .9062 .9039 .9145 .9042 .9036 .8962 .9173 .8910 .9026 .9099 Weakest items are marked in red, but they are still OK. ****** Method 2 (covariance matrix) will be used for this analysis ****** _ Example of Reliability Suggesting Big Problems R E L I A B I L I T Y 1. 2. 3. 4. 5. 6. 7. 8. A N A L Y S I S ATTRACT PARTRES PEOPLE MYAPP OTHERS PRIDE ILOOK ITRY - S C A L E (A L P H A) Mean Std Dev Cases 3.9730 1.9459 3.4054 3.7568 4.3784 3.7027 3.7027 2.7297 .6449 .9412 .9849 .8946 .5940 .7403 .8454 1.3049 37.0 37.0 37.0 37.0 37.0 37.0 37.0 37.0 Correlation Matrix ATTRACT ATTRACT PARTRES PEOPLE MYAPP OTHERS PRIDE ILOOK ITRY 1.0000 .4094 .1052 -.1562 -.1176 -.1337 -.0661 .1561 N of Cases = Statistics for Scale _ Mean 27.5946 R E L I A B I L I T Y PARTRES PEOPLE MYAPP OTHERS PRIDE ILOOK ITRY the best correlation; we may just use these two 1.0000 .0842 -.1810 .0376 -.2230 -.2651 -.0122 1.0000 .0835 -.0796 .0175 -.1515 .1309 1.0000 -.1879 .0555 -.1350 .0373 1.0000 .1366 -.1570 -.0077 1.0000 -.2339 .3746 37.0 Variance 6.3033 Std Dev 2.5106 A N A L Y S I S - N of Variables 8 S C A L E (A L P H A) 1.0000 .0259 1.0000 Item-total Statistics ATTRACT PARTRES PEOPLE MYAPP OTHERS PRIDE ILOOK ITRY Scale Mean if Item Deleted Scale Variance if Item Deleted 23.6216 25.6486 24.1892 23.8378 23.2162 23.8919 23.8919 24.8649 5.4640 5.7898 4.8799 6.0841 6.3408 5.5435 6.9324 3.1757 Reliability Coefficients Alpha = -.0158 Corrected ItemTotal Correlation .1404 -.0822 .1042 -.1317 -.1305 .0607 -.3019 .3064 8 items Standardized item alpha = Squared Multiple Correlation Alpha if Item Deleted .2356 .3077 .0615 .1357 .1104 .3076 .2522 .2238 -.1090 .0575 -.1292 .0947 .0558 -.0629 .2115 -.5555 -.1460 Item-total correlations and alpha if deleted are all low. ****** Method 2 (covariance matrix) will be used for this analysis ****** _ Example of Reliability Suggesting A Few Problematic Items R E L I A B I L I T Y 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. MEAPPR MOREHR CAREOT FIRST KNOWL HOTDATE NATURE OTHERTIM TREND OWNSTYLE SEXCON A N A L Y S I S - S C A L E Mean Std Dev Cases 3.5000 2.0769 3.3846 3.2308 2.3462 3.1538 1.8077 2.5385 2.5385 2.4231 3.3846 .8602 1.1974 .9829 1.1422 1.0561 1.0466 .5670 1.1038 1.3033 .9454 1.2985 26.0 26.0 26.0 26.0 26.0 26.0 26.0 26.0 26.0 26.0 26.0 (A L P H A) Correlation Matrix MEAPPR MOREHR CAREOT FIRST KNOWL HOTDATE NATURE OTHERTIM TREND OWNSTYLE SEXCON HOTDATE NATURE OTHERTIM TREND OWNSTYLE SEXCON MEAPPR MOREHR CAREOT FIRST KNOWL 1.0000 .5048 .6623 .0814 .1101 .4443 -.1230 .5055 .5709 .1230 .3939 1.0000 .4157 .0157 -.1484 .1178 .1405 .5727 .3569 .2528 .0317 1.0000 -.0110 -.1334 .4068 -.2208 .4282 .5188 .1622 .1615 1.0000 .2296 .2033 .2565 .0244 .3163 .1282 .3693 1.0000 .1308 .1824 .1425 .1207 -.1926 .1615 HOTDATE NATURE OTHERTIM TREND OWNSTYLE 1.0000 -.0156 .1678 .3767 -.5131 .3962 1.0000 .1721 .1999 -.1406 -.0042 1.0000 .2631 .1946 .0451 1.0000 .1648 .6527 1.0000 -.1053 SEXCON SEXCON _ 1.0000 R E L I A B I L I T Y N of Cases = Statistics for Scale Mean 30.3846 A N A L Y S I S - S C A L E (A L P H A) 26.0 N of Variables 11 Variance 37.1262 Std Dev 6.0931 Scale Mean if Item Deleted Scale Variance if Item Deleted Corrected ItemTotal Correlation 26.8846 28.3077 27.0000 27.1538 28.0385 27.2308 28.5769 27.8462 27.8462 27.9615 27.0000 29.8662 30.2215 30.8000 31.8954 34.6785 31.8646 36.0938 30.2154 25.7354 35.8785 29.3600 Item-total Statistics MEAPPR MOREHR CAREOT FIRST KNOWL HOTDATE NATURE OTHERTIM TREND OWNSTYLE SEXCON Reliability Coefficients Alpha = .7304 .6934 .4155 .4913 .3043 .1071 .3526 .1043 .4691 .7330 .0312 .4321 11 items Standardized item alpha = Squared Multiple Correlation Alpha if Item Deleted .6651 .5095 .6739 .3896 .3044 .6657 .4937 .5268 .7696 .6580 .6541 .6746 .7052 .6960 .7220 .7472 .7143 .7370 .6972 .6459 .7525 .7029 Weak items .7163 ****** Method 2 (covariance matrix) will be used for this analysis ****** _ Reliability After Three Weak Items are Dropped R E L I A B I L I T Y 1. 2. 3. 4. 5. 6. 7. 8. MEAPPR MOREHR CAREOT FIRST HOTDATE OTHERTIM TREND SEXCON A N A L Y S I S - S C A L E Mean Std Dev Cases 3.5000 2.0769 3.3846 3.2308 3.1538 2.5385 2.5385 3.3846 .8602 1.1974 .9829 1.1422 1.0466 1.1038 1.3033 1.2985 26.0 26.0 26.0 26.0 26.0 26.0 26.0 26.0 (A L P H A) Correlation Matrix MEAPPR MOREHR CAREOT FIRST HOTDATE OTHERTIM TREND SEXCON OTHERTIM TREND SEXCON MEAPPR MOREHR CAREOT FIRST HOTDATE 1.0000 .5048 .6623 .0814 .4443 .5055 .5709 .3939 1.0000 .4157 .0157 .1178 .5727 .3569 .0317 1.0000 -.0110 .4068 .4282 .5188 .1615 1.0000 .2033 .0244 .3163 .3693 1.0000 .1678 .3767 .3962 OTHERTIM TREND SEXCON 1.0000 .2631 .0451 1.0000 .6527 1.0000 N of Cases = Statistics for Scale _ Mean 23.8077 26.0 Variance 32.0815 Std Dev 5.6641 N of Variables 8 R E L I A B I L I T Y A N A L Y S I S - S C A L E (A L P H A) Item-total Statistics MEAPPR MOREHR CAREOT FIRST HOTDATE OTHERTIM TREND SEXCON Scale Mean if Item Deleted Scale Variance if Item Deleted 20.3077 21.7308 20.4231 20.5769 20.6538 21.2692 21.2692 20.4231 25.1015 25.5646 25.5338 28.0138 26.0754 26.1246 21.7246 24.4938 Corrected ItemTotal Correlation .7239 .4198 .5619 .2285 .4594 .4199 .7127 .4592 Squared Multiple Correlation Alpha if Item Deleted .6278 .4466 .5673 .1879 .3116 .4077 .6483 .5787 .7296 .7692 .7474 .7986 .7619 .7681 .7132 .7639 Reliability Coefficients 8 items Alpha = .7815 Standardized item alpha = .7910 NOTE: “First” is now the weakest item, but it does not need to be dropped as the scale as a whole is close enough. This is an example of open by index that “works”: The mean for index gets steadily higher for each category of open. Report INDEX OPEN 1.00 2.00 4.00 5.00 Total Mean 23.0000 32.9000 34.4286 43.6250 33.4242 Report NEWINDEX OPEN 1.00 2.00 3.00 4.00 6.00 Total N Std. Deviation 8 7.05084 10 8.64356 7 7.13809 8 2.61520 33 9.81956 Mean 18.0000 21.2857 23.5000 23.5000 26.0000 22.4091 N 2 7 4 8 1 22 Std. Deviation .00000 1.60357 .57735 3.46410 . 2.88937 Report INDEX OPEN Mean N 1.00 2.00 3.00 4.00 5.00 Total 26.2500 31.0000 36.2000 43.3333 42.2222 34.7059 8 9 5 3 9 34 Std. Deviation 4.06202 9.15150 7.98123 3.78594 5.09357 9.07053 Test of Bivariate Association Between Index and Student Report NEWINDEX STUDENT .00 1.00 Total Mean 23.2353 19.6000 22.4091 ANOVA Table NEWINDEX * STUDENT Sum of df Squares Between Groups 51.059 1 Within Groups 124.259 20 Total 175.318 21 N 17 5 22 Std. Deviation 2.53795 2.30217 2.88937 Mean F Square 51.059 8.218 6.213 Sig. .010 ANOVA test is significant (significance = p < .05 is conventional significance level). The average on newindex for sex 1 is 19.6, versus 23.2 for sex 0, and the significance test says this is a large enough difference given the sample size that it is unlikely to be due to random chance. TURN THE COMPUTER PRINTOUT INTO A FINAL TABLE STUDENT Not a Student (0) Student (1) Total Mean 23.2 19.6 22.4 N 17 5 22 P = .01 Conclusion: Students have a significantly lower score on {whatever the dependent variable is} than non-students do.