## 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.