Geology Fission Track Chi Square Test Calculator
Pearson grain×track-origin contingency homogeneity statistic; explicit integer counts, no automatic central-age validity or chi-square p approximation. Caller independently establishes matching units, evidence, method edition and applicability; output is not compliance, diagnosis, work-safety approval, geological identity or validated hazard prediction.
Description
A Pearson homogeneity statistic compares two categories of fission-track counts across matched groups.
A Pearson homogeneity statistic compares two categories of fission-track counts across matched groups.1
The statistic and degrees of freedom describe the submitted count table; they do not themselves provide a p-value or a dated population. Use this tool to calculate fission track chi square test from the supplied measurements and assumptions.
When to use Geology Fission Track Chi Square Test Calculator
Use this tool to calculate fission track chi square test from the supplied measurements and assumptions. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
How to use Geology Fission Track Chi Square Test Calculator and understand its results
- Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
- Enter spontaneousCounts, inducedCounts, using the field meanings and rules below, then run the tool.
- Read pearsonStatistic, degreesOfFreedom. Interpret the fields using their units, signs and evidence conventions below.
- If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| spontaneousCounts | Spontaneous counts | list of number | Required |
| inducedCounts | Induced counts | list of number | Required |
Enter 2–128 aligned groups of nonnegative integer spontaneous and induced counts, bounded to 1,000,000,000. Require positive totals for each category and a positive combined count in each group. Calculate expected counts from the row and column totals of the two-category table and sum Pearson residual terms. Return the statistic and groupCount−1 degrees of freedom; no p-value or significance decision is returned.
expectedA_i=(A_i+B_i)ΣA/(ΣA+ΣB); expectedB_i=(A_i+B_i)ΣB/(ΣA+ΣB); chi²=Σ[(A_i−EA_i)²/EA_i+(B_i−EB_i)²/EB_i] Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| pearsonStatistic | Pearson two-category count-table statistic, without a p-value | number |
| degreesOfFreedom | Number of submitted count groups minus one | number |
{
"input": {
"spontaneousCounts": [
10,
20
],
"inducedCounts": [
10,
20
]
},
"output": {
"pearsonStatistic": 0,
"degreesOfFreedom": 1
}
}Limitations and assumptions
The statistic and degrees of freedom describe the submitted count table; they do not themselves provide a p-value or a dated population. Interpretation depends on the units, sampling scope and exact model described above.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.
Alternative or Complementary methods
Use Geology U Th Disequilibrium Age Calculator for this related task: An activity-ratio age interpretation depends on a specified uranium–thorium evolution curve.
Use Geology U Pb Discordia Upper Intercept Calculator when its separate inputs and assumptions fit the question: A discordia line summarizes paired uranium–lead ratio observations in a chosen coordinate system.
References
Similar or alternative tools
- Geology U Th Disequilibrium Age Calculator
An activity-ratio age interpretation depends on a specified uranium–thorium evolution curve.
- Geology U Pb Discordia Upper Intercept Calculator
A discordia line summarizes paired uranium–lead ratio observations in a chosen coordinate system.