Data

Summary - Data Collection and Analysis

Summary of Data Analysis

GRADE X (X=1, 5, 9+10) || Post treatment phase: GRADE X (X=1, 5, 9+10) || (21 students) || Motivation || MEAN 1 = 32.71 SD 1 = 3.21 || MEAN 2 = 34.38 SD 2 = 2.09 || Motivation increased with decreased mean deviation. || SD 1 = 5.56 || MEAN 2 = 24.76 SD 2 = 3.39 || Performance increased with decreased mean deviation. || (22 students) || Motivation || MEAN 1 = 30.27 SD 1 = 3.1 || MEAN 2 = 30.68 SD 2 = 2.83 || Motivation increased with less mean deviation. || SD 1 = 3.58 || MEAN 2 = 20.45 SD 2 = 3.74 || Performance increased, increased mean deviation. || (22 students) || Motivation || MEAN 1 = 28.64 SD 1 = 4.27 || MEAN 2 = 30.77 SD 2 = 3.15 || Motivation increased with less mean deviation. || SD 1 = 2.69 || MEAN 2 = 20.91 SD 2 = 3.93 || Performance increased with, increased mean deviation. || (65 students) || Motivation || MEAN 1 = 30.51 SD 1 = 3.9 || MEAN 2 = 31.91 SD 2 = 3.2 || Motivation increased with decreased mean deviation. || SD 1 = 4.15 || MEAN 2 = 22 SD 2 = 4.12 || Performance increased with decreased mean deviation. || Table 1
 * ** “What is the effect of choice on students' performance and motivation?” ** ||
 * [[image:choices-for-deliberate-creators.jpg align="center"]] |||| Independent Variable: STUDENT CHOICES ||
 * ^  || Post control phase:
 * Dependent Variables || GRADE 1
 * ^  ||^   ||^   |||| Mean 2 > Mean 1, SD 1 > SD 2
 * ^  ||^   || Performance || MEAN 1 = 19.95
 * ^  ||^   ||^   |||| Mean 2 >> Mean 1, SD 1 > >SD 2
 * ^  || GRADE 5
 * ^  ||^   ||^   |||| Mean 2 > Mean 1, SD 1 > SD 2
 * ^  ||^   || Performance || MEAN 1 = 18.09
 * ^  ||^   ||^   |||| Mean 2 > Mean 1, SD 1 < SD 2
 * ^  || GRADE 9+10
 * ^  ||^   ||^   |||| Mean 2 >> Mean 1, SD 1 >> SD 2
 * ^  ||^   || Performance || MEAN 1 = 17.73
 * ^  ||^   ||^   |||| Mean 2 >> Mean 1, SD 1 << Mean 1, SD 1 > SD 2
 * ^  ||^   || Performance || MEAN 1 = 18.57
 * ^  ||^   ||^   |||| Mean 2 >> Mean 1, SD 1 >SD 2

Chart 1

Chart 2

Appendix - Data Collection and Analysis













[|Graph[ad Quick Calx]


 * Motivation **

Motivation Results Paired T-Test on reported sample Grade 1 5 9+10


 * Full sample - ||  ||   ||   ||
 * Paired t test results ||  ||   ||   ||
 * P value and statistical significance: ||  ||   ||
 * The two-tailed P value equals 0.0003 ||  ||   ||
 * By conventional criteria, this difference is considered to be extremely statistically significant. ||
 * Confidence interval: ||  ||   ||   ||
 * The mean of Group One minus Group Two equals -1.40 ||  ||   ||
 * 95% confidence interval of this difference: From -2.12 to -0.68 ||  ||
 * Intermediate values used in calculations: ||  ||   ||
 * t = 3.8658 ||  ||   ||   ||
 * df = 64 ||  ||   ||   ||
 * standard error of difference = 0.362 ||  ||   ||
 * Review your data: ||  ||   ||   ||
 * Group || Group One || Group Two ||  ||
 * Mean || 30.51 || 31.91 ||  ||
 * SD || 3.9 || 3.2 ||  ||
 * SEM || 0.48 || 0.4 ||  ||
 * N || 65 || 65 ||  ||
 * SD || 3.9 || 3.2 ||  ||
 * SEM || 0.48 || 0.4 ||  ||
 * N || 65 || 65 ||  ||


 * Grade 1 ||  ||   ||   ||
 * Paired t test results ||  ||   ||   ||
 * P value and statistical significance: ||  ||   ||
 * The two-tailed P value equals 0.0139 ||  ||   ||
 * By conventional criteria, this difference is considered to be statistically significant. ||
 * Confidence interval: ||  ||   ||   ||
 * The mean of Group One minus Group Two equals -1.67 ||  ||
 * 95% confidence interval of this difference: From -2.96 to -0.38 ||
 * Intermediate values used in calculations: ||  ||   ||
 * t = 2.6947 ||  ||   ||   ||
 * df = 20 ||  ||   ||   ||
 * standard error of difference = 0.618 ||  ||   ||
 * Review your data: ||  ||   ||   ||
 * Group || Group One || Group Two ||  ||
 * Mean || 32.71 || 34.38 ||  ||
 * SD || 3.21 || 2.09 ||  ||
 * SEM || 0.7 || 0.46 ||  ||
 * N || 21 || 21 ||  ||
 * SD || 3.21 || 2.09 ||  ||
 * SEM || 0.7 || 0.46 ||  ||
 * N || 21 || 21 ||  ||


 * Grade 5 ||  ||   ||
 * Paired t test results ||  ||   ||
 * P value and statistical significance: ||  ||   ||
 * The two-tailed P value equals 0.4768 ||  ||
 * By conventional criteria, this difference is considered to be not statistically significant. ||
 * Confidence interval: ||  ||   ||
 * The mean of Group One minus Group Two equals -0.41 ||  ||
 * 95% confidence interval of this difference: From -1.58 to 0.77 ||  ||
 * Intermediate values used in calculations: ||  ||
 * t = 0.7245 ||  ||   ||
 * df = 21 ||  ||   ||
 * standard error of difference = 0.565 ||  ||   ||
 * Review your data: ||  ||   ||
 * Group || Group One || Group Two ||
 * Mean || 30.27 || 30.68 ||
 * SD || 3.1 || 2.83 ||
 * SEM || 0.66 || 0.6 ||
 * N || 22 || 22 ||
 * SD || 3.1 || 2.83 ||
 * SEM || 0.66 || 0.6 ||
 * N || 22 || 22 ||


 * Grade 9+10 ||  ||   ||   ||
 * Paired t test results ||  ||   ||
 * P value and statistical significance: ||  ||   ||
 * The two-tailed P value equals 0.0040 ||  ||   ||
 * By conventional criteria, this difference is considered to be very statistically significant. ||
 * Confidence interval: ||  ||   ||
 * The mean of Group One minus Group Two equals -2.14 ||  ||   ||
 * 95% confidence interval of this difference: From -3.51 to -0.76 ||  ||
 * Intermediate values used in calculations: ||  ||   ||
 * t = 3.2262 ||  ||   ||   ||
 * df = 21 ||  ||   ||   ||
 * standard error of difference = 0.662 ||  ||   ||
 * Review your data: ||  ||   ||
 * Group || Group One || Group Two ||  ||
 * Mean || 28.64 || 30.77 ||  ||
 * SD || 4.27 || 3.15 ||  ||
 * SEM || 0.91 || 0.67 ||  ||
 * N || 22 || 22 ||  ||
 * SD || 4.27 || 3.15 ||  ||
 * SEM || 0.91 || 0.67 ||  ||
 * N || 22 || 22 ||  ||


 * Performance **


 * Full sample ||  ||   ||   ||
 * Paired t test results ||  ||   ||   ||
 * P value and statistical significance: ||  ||   ||
 * The two-tailed P value is less than 0.0001 ||  ||   ||
 * By conventional criteria, this difference is considered to be extremely statistically significant. ||
 * Confidence interval: ||  ||   ||   ||
 * The mean of Group One minus Group Two equals -3.43 ||  ||   ||
 * 95% confidence interval of this difference: From -4.39 to -2.47 ||  ||
 * Intermediate values used in calculations: ||  ||   ||
 * t = 7.1569 ||  ||   ||   ||
 * df = 64 ||  ||   ||   ||
 * standard error of difference = 0.479 ||  ||   ||
 * Review your data: ||  ||   ||   ||
 * Group || Group One || Group Two ||  ||
 * Mean || 18.57 || 22 ||  ||
 * SD || 4.15 || 4.12 ||  ||
 * SEM || 0.51 || 0.51 ||  ||
 * N || 65 || 65 ||  ||
 * Mean || 18.57 || 22 ||  ||
 * SD || 4.15 || 4.12 ||  ||
 * SEM || 0.51 || 0.51 ||  ||
 * N || 65 || 65 ||  ||


 * Grade 1 ||  ||   ||   ||   ||
 * Paired t test results ||  ||   ||   ||   ||
 * P value and statistical significance: ||  ||   ||   ||
 * The two-tailed P value equals 0.0004 ||  ||   ||   ||
 * By conventional criteria, this difference is considered to be extremely statistically significant. ||
 * Confidence interval: ||  ||   ||   ||   ||
 * The mean of Group One minus Group Two equals -4.81 ||  ||   ||
 * 95% confidence interval of this difference: From -7.16 to -2.45 ||  ||
 * Intermediate values used in calculations: ||  ||   ||   ||
 * t = 4.2604 ||  ||   ||   ||   ||
 * df = 20 ||  ||   ||   ||   ||
 * standard error of difference = 1.129 ||  ||   ||   ||
 * Review your data: ||  ||   ||   ||   ||
 * Group || Group One || Group Two ||  ||   ||
 * Mean || 19.95 || 24.76 ||  ||   ||
 * SD || 5.56 || 3.39 ||  ||   ||
 * SEM || 1.21 || 0.74 ||  ||   ||
 * N || 21 || 21 ||  ||   ||
 * Mean || 19.95 || 24.76 ||  ||   ||
 * SD || 5.56 || 3.39 ||  ||   ||
 * SEM || 1.21 || 0.74 ||  ||   ||
 * N || 21 || 21 ||  ||   ||


 * Grade 5 ||  ||   ||   ||
 * Paired t test results ||  ||   ||   ||
 * P value and statistical significance: ||  ||   ||   ||
 * The two-tailed P value equals 0.0004 ||  ||   ||
 * By conventional criteria, this difference is considered to be extremely statistically significant. ||  ||
 * Confidence interval: ||  ||   ||   ||
 * The mean of Group One minus Group Two equals -2.36 ||  ||   ||
 * 95% confidence interval of this difference: From -3.54 to -1.19 ||  ||   ||
 * Intermediate values used in calculations: ||  ||   ||
 * t = 4.1890 ||  ||   ||   ||
 * df = 21 ||  ||   ||   ||
 * standard error of difference = 0.564 ||  ||   ||   ||
 * Review your data: ||  ||   ||   ||
 * Group || Group One || Group Two ||  ||
 * Mean || 18.09 || 20.45 ||  ||
 * SD || 3.58 || 3.74 ||  ||
 * SEM || 0.76 || 0.8 ||  ||
 * N || 22 || 22 ||  ||
 * Mean || 18.09 || 20.45 ||  ||
 * SD || 3.58 || 3.74 ||  ||
 * SEM || 0.76 || 0.8 ||  ||
 * N || 22 || 22 ||  ||


 * Grade 9+10 ||  ||   ||   ||   ||
 * Paired t test results ||  ||   ||   ||
 * P value and statistical significance: ||  ||   ||   ||
 * The two-tailed P value equals 0.0001 ||  ||   ||   ||
 * By conventional criteria, this difference is considered to be extremely statistically significant. ||
 * Confidence interval: ||  ||   ||   ||
 * The mean of Group One minus Group Two equals -3.18 ||  ||   ||   ||
 * 95% confidence interval of this difference: From -4.57 to -1.79 ||  ||   ||
 * Intermediate values used in calculations: ||  ||   ||   ||
 * t = 4.7503 ||  ||   ||   ||   ||
 * df = 21 ||  ||   ||   ||   ||
 * standard error of difference = 0.670 ||  ||   ||   ||
 * Review your data: ||  ||   ||   ||
 * Group || Group One || Group Two ||  ||   ||
 * Mean || 17.73 || 20.91 ||  ||   ||
 * SD || 2.69 || 3.93 ||  ||   ||
 * SEM || 0.57 || 0.84 ||  ||   ||
 * N || 22 || 22 ||  ||   ||
 * Mean || 17.73 || 20.91 ||  ||   ||
 * SD || 2.69 || 3.93 ||  ||   ||
 * SEM || 0.57 || 0.84 ||  ||   ||
 * N || 22 || 22 ||  ||   ||


 * Data - outside of sample set **
 * (in order to balance early, primary and middle year sample representation for research reporting, upper grades from Early, Primary and Middle years included) **


 * The following is data from MYP grade 6, 7 and 8 not used. **


 * MOTIVATION LIKERT ONLY **


 * GRADE 6 - Note: 6b very statistically sig, 6e not stat sig ||  |||||| Grade 7 - note: neither 7b or 7e significant ||   ||   |||||||| Grade 8 - note: Post treatment Likert taken after rushing plan stage ||
 * Paired t test results ||  ||   ||   |||| Paired t test results ||   ||   ||   || Paired t test results ||   ||   ||   ||
 * P value and statistical significance: ||  ||   ||   |||| P value and statistical significance: ||   ||   ||   || P value and statistical significance: ||   ||   ||   ||
 * The two-tailed P value equals 0.0081 ||  ||   ||   |||| The two-tailed P value equals 0.2438 ||   ||   ||   || The two-tailed P value equals 0.6047 ||   ||   ||   ||
 * By conventional criteria, this difference is considered to be very statistically significant. |||||||||| By conventional criteria, this difference is considered to be not statistically significant. || By conventional criteria, this difference is considered to be not statistically significant. ||  ||   ||   ||
 * Confidence interval: ||  ||   ||   ||   |||| Confidence interval: ||   ||   ||   || Confidence interval: ||   ||   ||   ||
 * The mean of Group One minus Group Two equals -1.53 ||  ||   |||||| The mean of Group One minus Group Two equals -0.69 ||   ||   || The mean of Group One minus Group Two equals 0.33 ||   ||   ||   ||
 * 95% confidence interval of this difference: From -2.65 to -0.42 ||  |||||||| 95% confidence interval of this difference: From -1.87 to 0.49 ||   || 95% confidence interval of this difference: From -0.99 to 1.66 ||   ||   ||   ||
 * Intermediate values used in calculations: ||  ||   ||   |||||| Intermediate values used in calculations: ||   ||   || Intermediate values used in calculations: ||   ||   ||   ||
 * t = 2.7796 ||  ||   ||   ||   || t = 1.1826 ||   ||   ||   ||   || t = 0.5260 ||   ||   ||   ||
 * df = 42 ||  ||   ||   ||   || df = 41 ||   ||   ||   ||   || df = 20 ||   ||   ||   ||
 * standard error of difference = 0.552 ||  ||   ||   |||| standard error of difference = 0.584 ||   ||   ||   || standard error of difference = 0.634 ||   ||   ||   ||
 * Learn more: ||  ||   ||   ||   || Learn more: ||   ||   ||   ||   || Learn more: ||   ||   ||   ||
 * Review your data: ||  ||   ||   ||   |||| Review your data: ||   ||   ||   || Review your data: ||   ||   ||   ||
 * Group || Group One || Group Two ||  ||   || Group || Group One || Group Two ||   ||   || Group || Group One || Group Two ||   ||
 * Mean || 29.19 || 30.72 ||  ||   || Mean || 30.07 || 30.76 ||   ||   || Mean || 29.14 || 28.81 ||   ||
 * SD || 3.55 || 2.87 ||  ||   || SD || 3.2 || 3.53 ||   ||   || SD || 3.58 || 2.94 ||   ||
 * SEM || 0.54 || 0.44 ||  ||   || SEM || 0.49 || 0.55 ||   ||   || SEM || 0.78 || 0.64 ||   ||
 * N || 43 || 43 ||  ||   || N || 42 || 42 ||   ||   || N || 21 || 21 ||   ||
 * Grade 9 ||  ||   ||   ||   || Grade 10 ||   ||   ||   ||   ||   ||   ||   ||   ||
 * Paired t test results ||  ||   ||   |||| Paired t test results ||   ||   ||   ||   ||   ||   ||   ||
 * P value and statistical significance: ||  ||   ||   |||| P value and statistical significance: ||   ||   ||   ||   ||   ||   ||   ||
 * The two-tailed P value equals 0.0145 ||  ||   ||   |||| The two-tailed P value equals 0.0306 ||   ||   ||   ||   ||   ||   ||   ||
 * By conventional criteria, this difference is considered to be statistically significant. |||||||||| By conventional criteria, this difference is considered to be statistically significant. ||  ||   ||   ||   ||
 * Confidence interval: ||  ||   ||   ||   |||| Confidence interval: ||   ||   ||   ||   ||   ||   ||   ||
 * The mean of Group One minus Group Two equals -2.19 ||  ||   |||||| The mean of Group One minus Group Two equals -1.75 ||   ||   ||   ||   ||   ||   ||
 * 95% confidence interval of this difference: From -3.88 to -0.50 ||  |||||||| 95% confidence interval of this difference: From -3.31 to -0.19 ||   ||   ||   ||   ||   ||
 * Intermediate values used in calculations: ||  ||   ||   |||||| Intermediate values used in calculations: ||   ||   ||   ||   ||   ||   ||
 * t = 2.7630 ||  ||   ||   ||   || t = 2.3870 ||   ||   ||   ||   ||   ||   ||   ||   ||
 * df = 15 ||  ||   ||   ||   || df = 15 ||   ||   ||   ||   ||   ||   ||   ||   ||
 * standard error of difference = 0.792 ||  ||   ||   |||| standard error of difference = 0.733 ||   ||   ||   ||   ||   ||   ||   ||
 * Review your data: ||  ||   ||   ||   |||| Review your data: ||   ||   ||   ||   ||   ||   ||   ||
 * Group || Group One || Group Two ||  ||   || Group || Group One || Group Two ||   ||   ||   ||   ||   ||   ||
 * Mean || 28.06 || 30.25 ||  ||   || Mean || 29.63 || 31.38 ||   ||   ||   ||   ||   ||   ||
 * SD || 4.4 || 3.4 ||  ||   || SD || 3.42 || 3.07 ||   ||   ||   ||   ||   ||   ||
 * SEM || 1.1 || 0.85 ||  ||   || SEM || 0.86 || 0.77 ||   ||   ||   ||   ||   ||   ||
 * N || 16 || 16 ||  ||   || N || 16 || 16 ||   ||   ||   ||   ||   ||   ||
 * Motivation Paired T Test for entire 1 5 6 7 8 9 10 Samplegroup ||  ||   ||   ||   ||   ||   ||   ||
 * Paired t test results ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * P value and statistical significance: ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * The two-tailed P value is less than 0.0001 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * By conventional criteria, this difference is considered to be extremely statistically significant. ||  ||   ||   ||   ||   ||   ||   ||   ||   ||
 * Confidence interval: ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * The mean of Group One minus Group Two equals -1.08 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * 95% confidence interval of this difference: From -1.57 to -0.59 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * Intermediate values used in calculations: ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * t = 4.3538 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * df = 180 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * standard error of difference = 0.247 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * Review your data: ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * Group || Group One || Group Two ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * Mean || 29.87 || 30.94 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * SD || 3.6 || 3.3 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * SEM || 0.27 || 0.25 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * N || 181 || 181 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * N || 16 || 16 ||  ||   || N || 16 || 16 ||   ||   ||   ||   ||   ||   ||
 * Motivation Paired T Test for entire 1 5 6 7 8 9 10 Samplegroup ||  ||   ||   ||   ||   ||   ||   ||
 * Paired t test results ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * P value and statistical significance: ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * The two-tailed P value is less than 0.0001 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * By conventional criteria, this difference is considered to be extremely statistically significant. ||  ||   ||   ||   ||   ||   ||   ||   ||   ||
 * Confidence interval: ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * The mean of Group One minus Group Two equals -1.08 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * 95% confidence interval of this difference: From -1.57 to -0.59 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * Intermediate values used in calculations: ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * t = 4.3538 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * df = 180 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * standard error of difference = 0.247 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * Review your data: ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * Group || Group One || Group Two ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * Mean || 29.87 || 30.94 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * SD || 3.6 || 3.3 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * SEM || 0.27 || 0.25 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * N || 181 || 181 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * Review your data: ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * Group || Group One || Group Two ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * Mean || 29.87 || 30.94 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * SD || 3.6 || 3.3 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * SEM || 0.27 || 0.25 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * N || 181 || 181 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * SEM || 0.27 || 0.25 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
 * N || 181 || 181 ||  ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||