Resonance Assessment Test #1 First Semester Instructions: Select the best answer for each question. 1. Select the electron movement that generates a resonance structure for this species. CH3 H3C CH3 H3C N H H 2C H CH3 H a. N CH3 H 2C CH3 H H 2C b. CH3 H 3C N H H CH3 H H H2 C CH3 H 3C N H CH3 CH3 H 3C N H H 2C c. d. 2. Select an alternate Lewis structure for this species. H a. H H C C C H H H O H C C C H H H C C H O c. H H C C C H H H H C C C H H H H H O d. H H - 3. Select the most stable Lewis structure for [NHCHCHCHCHCHO] . 4. H N O N O H c. H d. H O N N O Select the best drawing for the resonance hybrid of this species. O O H O H H I a. O H H H C H b. H H b. a. O O δ+ δ+ δ− c. O δ− δ− H δ− O b. δ+ H d. H O δ+ δ+ H δ+ Resonance Assessment Test #6 Second Semester Instructions: Select the best answer for each question. 1. Select the electron movement that generates a resonance structure for this species. O O H C H O H H H H H O H H H O H H C H H H H a. 2. O H H H O H H c. O O O a. b. c. d. Select the most stable Lewis structure for this species. O H H H H a. H O H C H H H H H b. H H N C H H H H H H H N H N C H H H O H O H H H c. H H N C H H H H H d. H H N C H H H Select the best drawing for the resonance hybrid of this species. O δ− δ+ δ− O O c. d. δ+ δ− a. δ− O O b. C H d. O H H C H H H O H H H b. O 4. H Select an alternate Lewis structure for this species. O 3. C O H H O H H Difficulty and Discrimination Indexes In order to present some psychometric properties of the tests, in terms of their validity and reliability, the difficulty and discriminating indexes were computed for each item. The difficulty index (p) is a measure of the proportion of examinees that answered the item correctly, and for a mastery model situation it is desirable that students find the item “very easy”, in other words that 90 percent or more of the students answer the item correctly. The discrimination index (d) is a measure of how well an item discriminates between the masters and the non-masters; so positive discrimination indexes are desirable. When interpreting the value of a discrimination index it is important to be aware of the relationship between an item’s difficulty index and its discrimination index. Items that are either too simple or too difficult are not likely to be very discriminating. Table 1. Difficulty, Discrimination Indexes and Mean Difficulty for Test Items Task 1 Item Task 2 Task 3 Task 4 p d Item p d Item p d Item p d First Semester Test 1 1 .850 .30 2 .906 .17 3 .901 .23 4 .972 .09 Test 2 1 .948 .11 2 .620 .56 3 .784 .28 4 .920 .19 Test 3 1 .827 .39 2 .577 .61 3 .892 .23 4 .887 .17 Test 4 1 .859 .28 2 .817 .39 3 .915 .16 4 .873 .19 Second Semester Test 5 1 .897 .26 2 .879 .30 3 .685 .66 4 .867 .32 Test 6 1 .909 .20 2 .939 .08 3 .788 .40 4 .933 .10 Test 7 1 .836 .26 2 .848 .32 3 .655 .60 4 .133 .10 Mean Difficulty .874 .798 .797 .803 i. Four short tests were given during the first semester (Tests 1- 4) and three during the second semester (Tests 5-7). ii. Each test had one question for each of the four tasks (Item 1 for Task 1, Item 2 for Task 2 and so on. iii. A difficulty index (p) was calculated for each item using a frequency analysis. This index is a measure of how easy or difficult the test item was for students. iv. The difficulty index should be interpreted as a percent, where .85 means that 85% of students answered the item correctly. v. If the p value is ≥ .90 the item was very easy, between .89 and .61 the item was easy, between .60 and .40 the item was moderate, and less than .40 the item was difficult. vi. The difference between the high ability (one third) and low ability (one third) approach was used to calculate the discrimination index (d). Using these two opposite group scores, an index was calculated for each item using the formula, d = (CH - CL) / .5 N. vii. In norm-reference tests when the magnitude of the discriminating index is larger than .40 the item has very good discrimination (VG), between .39 and .30 the item has good discrimination (GD), between .29 and .20 the item should be revised (R), and less than .19 the item has no discrimination (ND). In criterion-referenced mastery tests, as is this case, only positive discrimination indexes are desirable. Multiple Regression Analysis A multiple regression analysis was also performed where the predictor variables were the tasks and the grades were the criterion variable. A stepwise regression selection process was used to identify the best prediction model. Different models were considered as predictors of students’ final grades. In a stepwise regression the predictor with the highest correlation (R2) with the criterion variable is entered first in the model. Then it tests each of the remaining variables until it finds the highest R2. The overall R2 indicates the percentage of the variance associated with the criterion variable. Based on this regression analysis, an ANOVA table was generated for each semester. For the first semester, the first model (one variable model) considered Task 1 to be the most highly associated with higher grades (Table 2). In the second model (two variable model) Task 3 was added into the model and a significant increment of 7.5% was observed in the proportion of variance, (R2). In the third model (three variable model) a significant increment of 2.9% was observed in the proportion of variance. Second semester data also associated Task 1 with the higher grades. The second model also added Task 3, with an increment of 6.7% in the proportion of variance. The third model gave an increment of 3.5% in the proportion of variance. (See Table 3) Table 2. ANOVA Regression for the First Semester Model Task 1 Task 1,3 Task Sum of Degrees of Mean Squares freedom (df) Square Regression 71.811 1 71.811 Residual 234.095 209 1.120 Total 305.905 210 Regression 95.914 2 47.957 Residual 209.992 208 1.010 Total 305.905 210 Regression 106.304 3 35.435 199.601 207 .964 305.905 210 1,2,3 Residual Total % F p R2 % 64.113 .000 .485 48.5 - 47.502 .000 .560 56.0 7.5 36.748 .000 .589 58.9 2.9 increase Statistical test (F value), probability level (p), the proportion of variance (R2), the percentage of variance (%), and the percentage of incremental variance accounted for by the addition of predictors into the model. A probability level (p) equal or less than .05 indicates a statistically significant incremental variance in each model tested. Table 3. ANOVA Regression for the Second Semester Model Task 1 Task 1,3 Task 1,3,2 Regression Sum of Degrees of Mean Squares freedom (df) Square 23.313 1 23.313 Residual 206.126 160 1.288 Total 229.438 161 35.965 2 17.982 Residual 193.474 159 1.217 Total 229.438 161 42.565 3 14.188 Residual 186.873 158 1.183 Total 229.438 161 Regression Regression F p R2 % % increase 18.096 .000 .319 31.9 - 14.778 .000 .396 39.6 6.7 11.996 .000 .431 43.1 3.5 Statistical test (F value), probability level (p), the proportion of variance (R2), the percentage of variance (%), and the percentage of incremental variance accounted for by the addition of predictors into the model. A probability level (p) equal or less than .05 indicates a statistically significant incremental variance in each model tested.