Question 1
Problem Description: This Statistical Analysis Assignment explores the impact of different soil types on the performance of corn crops in terms of yield, water requirements, and herbicide usage.
Results:
MANOVA: Wilks Test
| Cases | df | Approx. F | Wilks' Λ | Num df | Den df | p |
| Soil type | 3 | 2.405 | 0.489 | 9 | 63.428 | 0.020 |
| Residuals | 28 |
ANOVA: yield
| Cases | Sum of Squares | df | Mean Square | F | p |
| Soil Types | 911.416 | 3 | 303.805 | 2.097 | 0.123 |
| Residual | 4057.451 | 28 | 144.909 |
ANOVA: water
| Cases | Sum Of Squares | df | Mean Square | F | p |
| Soil Types | 121.906 | 3 | 40.635 | 0.401 | 0.753 |
| Residual | 2833.986 | 28 | 101.214 |
ANOVA: herbicide
| Cases | Sum Of Squares | df | Mean Square | F | p |
| Soil Types | 32.348 | 3 | 10.783 | 2.685 | 0.066 |
| Residual | 112.436 | 28 | 4.016 |
Conclusion:
The results suggest that different soil conditions have a noticeable impact on the overall performance of the corn crop, with herbicide usage showing a possible difference.
Question 2
Problem Description: This assignment investigates the impact of three different treatments on plant growth in terms of height, width, and weight.
Results:
MANOVA: Wilks Test
| Cases | df | Approx. F | Wilks' Λ | Num df | Den df | p |
| Treatment | 2 | 7.644 | 0.092 | 6 | 20.000 | <.001 |
| Residuals | 12 |
Anova: Height
| Cases | Sum of Squares | df | Mean Square | F | p |
| Treatment | 10.217 | 2 | 5.109 | 18.399 | .001 |
| Residual | 3.332 | 12 | 0.278 |
Anova: Width
| Cases | Sum of Squares | df | Mean Square | F | p |
| Treatment | 6.916 | 2 | 3.458 | 6.866 | 0.010 |
| Residual | 6.044 | 12 | 0.504 |
ANOVA: Weight
| Cases | Sum of Squares | df | Mean Square | F | p |
| Soil Types | 23.329 | 2 | 11.665 | 49.991 | < .001 |
| Residual | 2.800 | 12 | 0.233 |
Conclusion:
The choice of treatment significantly affects plant growth, with Drug A and Drug B having the most pronounced impact on memory scores.
Question 3
Problem Description: This assignment examines the academic performance of students from different parishes in Jamaica in the subjects of Science and Mathematics.
Results:
MANOVA: Wilks Test:
| Cases | df | Approx. F | Wilks' Λ | Num df | Den df | p |
| Soil type | 2 | 15.744 | 0.320 | 4 | 82.000 | < .001 |
| Residuals | 42 |
ANOVA: Science:
| Cases | Sum of Squares | df | Mean Square | F | p |
| Soil Types | 5072.533 | 2 | 2536.267 | 38.089 | < .001 |
| Residual | 2796.667 | 42 | 66.587 |
ANOVA: Mathematics:
| Cases | Sum of Squares | df | Mean Square | F | p |
| Soil Types | 2590.533 | 2 | 1295.267 | 14.520 | < .001 |
| Residual | 3746.667 | 42 | 89.206 |
Conclusion:
The results suggest significant academic differences among students from different parishes in Jamaica, specifically in the subjects of Science and Mathematics.
Question 4
Problem Description: This assignment explores the impact of different syntactic categories (nouns, verbs, adjectives, adverbs) on the number of words learned by students.
Results:
Repeated Measures ANOVA:
| Within Subjects Effects | Cases | Sum of Squares | df | Mean Square | F | p | η² | ω² |
| Words learned | 50.000 | 3 | 16.667 | 25.000 | <.001 | 0.862 | 0.545 | |
| Residuals | 8.000 | 12 | 0.667 |
Post Hoc Tests - Words learned:
| Post Hoc Comparisons - Words learned | Mean Difference | SE | t | pholm |
| Nouns | Verbs | -1.000 | 0.516 | -1.936 |
Post Hoc Tests - Words learned:
| Post Hoc Comparisons - Words learned | Mean Difference | SE | t | pholm |
| Nouns | Adjectives | -3.000 | 0.516 | -5.809 |
| Nouns | Adverb | -4.000 | 0.516 | -7.746 |
| Verbs | Adjectives | -3.000 | 0.516 | -3.873 |
| Verbs | Adverb | -2.000 | 0.516 | -5.809 |
| Adjectives | Adverb | -1.000 | 0.516 | -1.936 |
Conclusion:
The results of the repeated measures ANOVA suggest that the syntactic category of words has a significant influence on the ease of learning for foreign students. Adjectives and adverbs were found to be more challenging to learn compared to nouns and verbs.