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Sample study · correlational design
Iris Flower Measurements
Research information
Statement of the problem
This study examines the morphological measurements of iris flowers and how the sepal and petal dimensions relate to one another.
Objectives
- To describe the sepal_length, sepal_width, petal_length, and petal_width of the flowers.
- To determine the relationship between petal_length and petal_width.
- To determine the relationship between sepal_length and petal_length.
- To determine the relationship between sepal_length and sepal_width.
Dataset
iris.csv150 rows × 5 cols
| Column | Kind | Missing | Distinct |
|---|---|---|---|
| sepal_length | numeric | 0 | 35 |
| sepal_width | numeric | 0 | 23 |
| petal_length | numeric | 0 | 43 |
| petal_width | numeric | 0 | 22 |
| species | categorical | 0 | 3 |
Feasibility & estimateFree
✓ Feasibledesign: correlational · via heuristic
Detected a correlational design with 5 analyzable variable(s) and 4 analytical question(s). Recommended 2 statistical test(s). Estimated cost: 37 credits.
Recommended analysis
To describe the sepal_length, sepal_width, petal_length, and petal_width of the flowers.
Descriptive Statistics(sepal_length, sepal_width, petal_length, petal_width)
To determine the relationship between petal_length and petal_width.
Pearson Correlation(petal_length, petal_width)
To determine the relationship between sepal_length and petal_length.
Pearson Correlation(sepal_length, petal_length)
To determine the relationship between sepal_length and sepal_width.
Pearson Correlation(sepal_length, sepal_width)
Dataset Complexity10
Statistical Tests6
AI Interpretation12
Visualizations4
Report Generation5
Total to run37 credits
Estimated runtime: ~40-80 seconds
ResultsComputed
4 tests37 credits
Descriptive Statistics (sepal_length, sepal_width, petal_length, petal_width)
| n | max | min | std | mean | mode | range | median | variable | variance |
|---|---|---|---|---|---|---|---|---|---|
| 150 | 7.900 | 4.300 | 0.828 | 5.843 | 5 | 3.600 | 5.800 | sepal_length | 0.686 |
| 150 | 4.400 | 2 | 0.436 | 3.057 | 3 | 2.400 | 3 | sepal_width | 0.190 |
| 150 | 6.900 | 1 | 1.765 | 3.758 | 1.400 | 5.900 | 4.350 | petal_length | 3.116 |
| 150 | 2.500 | 0.100 | 0.762 | 1.199 | 0.200 | 2.400 | 1.300 | petal_width | 0.581 |
Spearman Rank Correlation (petal_length, petal_width)
significantr.938R².879N150p< .001
Spearman r0.938
large
The result is statistically significant (p = 0.0000 < 0.05).
Spearman Rank Correlation was used instead of the Pearson Correlation because the latter's assumption(s) were not met (Normality of petal_length (Shapiro-Wilk), Normality of petal_width (Shapiro-Wilk)).
Spearman Rank Correlation (sepal_length, petal_length)
significantr.882R².778N150p< .001
Spearman r0.882
large
The result is statistically significant (p = 0.0000 < 0.05).
Spearman Rank Correlation was used instead of the Pearson Correlation because the latter's assumption(s) were not met (Normality of sepal_length (Shapiro-Wilk), Normality of petal_length (Shapiro-Wilk)).
Spearman Rank Correlation (sepal_length, sepal_width)
significantr-.167R².028N150p.041
Spearman r-0.167
small
The result is statistically significant (p = 0.0414 < 0.05).
Spearman Rank Correlation was used instead of the Pearson Correlation because the latter's assumption(s) were not met (Normality of sepal_length (Shapiro-Wilk)).
Report
Publication-ready report
Tests used · Results · Discussion — generated from the computed statistics.
Numeric-claim check passed · 16 numbers verified · prose: llm:gemini
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