Source: https://akholi.com/outsourcing-2026-agentic-ai-tier-1-banks/study-data/part-1-analysis-four-measures/
Author: Phil Hatch
Publisher: Akholi

Shared structure across the four study measures: cancellation, customer satisfaction, engagement indicator mean, intent to leave

Study Data · Part 1 · Indicator Deep-Dive Analysis

# Shared structure across the four study measures: cancellation, customer satisfaction, engagement indicator mean, intent to leave

Indicator ANALYSIS:four_measures · By Phil Hatch · Akholi · October 9, 2026

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## On this page

20 sectionsIndicator SpecificationSummary of FindingsAnalysis ResultsDistribution of Recorded ValuesDescriptive Statistics by SegmentTests of Difference Between SegmentsAssociation with Cancellation RateAssociation with Customer SatisfactionAssociation with the Engagement Indicator MeanAssociation with Intent to LeaveComparison of Associations Across the Four MeasuresClustering and Effective Sample SizeEquivalence Tests of Null ResultsRobustness ChecksMeasure Independence and Part-Whole CorrectionComparison with the Study NormInterpretation of the DataLimitationsDefinitionsSources and Provenance

## Indicator Specification

Table 1. Indicator specificationTable

| Field | Value |
| --- | --- |
| Indicator code | None, a derived analysis |
| Question as asked | Shared structure across the four study measures: cancellation, customer satisfaction, engagement indicator mean, intent to leave |
| Failure category | Not one of the 100 rated indicators |
| Place in the survey | Not a survey item |
| Indicator class | Derived from other indicators |
| Indicator type | Derived analysis |
| Response scale | Not applicable, a derived analysis |
| Answering base | As stated in Analysis Results |
| Non-answers | Not applicable |

## Summary of Findings

The four study measures moved together across the engagements studied (n = 150 engagements). The first principal component carried most of their shared variance (first component share 0.88). Cancellation and customer satisfaction formed the strongest pair (r = −0.94, 95% CI −0.96 to −0.92), and cancellation and the engagement indicator mean formed the weakest (r = −0.72, 95% CI −0.79 to −0.63). Cancellation rose with intent to leave (r = 0.80, 95% CI 0.74 to 0.85), and customer satisfaction fell as intent to leave rose (r = −0.90, 95% CI −0.92 to −0.86). The engagement indicator mean rose with customer satisfaction (r = 0.85, 95% CI 0.80 to 0.89) and fell as intent to leave rose (r = −0.84, 95% CI −0.88 to −0.78). Customer satisfaction loaded most heavily on the first component (0.98), and the engagement indicator mean loaded least heavily (0.91).

## Analysis Results

The figures in this section were computed for the study and placed by code from the statistics record.

Table 2. Analysis resultsTable

| Item | Value |
| --- | --- |
| Unit of analysis | Engagement |
| n | 150 |
| Range of the six absolute r | 0.72 to 0.94 |

Pairs of measures.

Table 3a. Analysis results: pairs of measures, part 1 of 2Table

| Measures | n | r | R squared | 95% CI |
| --- | --- | --- | --- | --- |
| Cancellation rate and customer satisfaction | 150 | −0.94 | 0.88 | −0.96 to −0.92 |
| Cancellation rate and engagement indicator mean | 150 | −0.72 | 0.52 | −0.79 to −0.63 |
| Cancellation rate and intent to leave | 150 | 0.80 | 0.65 | 0.74 to 0.85 |
| Customer satisfaction and engagement indicator mean | 150 | 0.85 | 0.73 | 0.80 to 0.89 |
| Customer satisfaction and intent to leave | 150 | −0.90 | 0.80 | −0.92 to −0.86 |
| Engagement indicator mean and intent to leave | 150 | −0.84 | 0.70 | −0.88 to −0.78 |

Table 3b. Analysis results: pairs of measures, part 2 of 2Table

| Measures | t | df | p | TOST p | Equivalent to zero | Power at the observed effect | Smallest detectable r (MDE) |
| --- | --- | --- | --- | --- | --- | --- | --- |
| Cancellation rate and customer satisfaction | −33.23 | 148 | < 0.001 | 1.000 | No | 1.00 | 0.23 |
| Cancellation rate and engagement indicator mean | −12.67 | 148 | < 0.001 | 1.000 | No | 1.00 | 0.23 |
| Cancellation rate and intent to leave | 16.43 | 148 | < 0.001 | 1.000 | No | 1.00 | 0.23 |
| Customer satisfaction and engagement indicator mean | 19.94 | 148 | < 0.001 | 1.000 | No | 1.00 | 0.23 |
| Customer satisfaction and intent to leave | −24.71 | 148 | < 0.001 | 1.000 | No | 1.00 | 0.23 |
| Engagement indicator mean and intent to leave | −18.63 | 148 | < 0.001 | 1.000 | No | 1.00 | 0.23 |

Principal components of the four measures.

Table 4. Analysis results: principal components of the four measuresTable

| Item | Value |
| --- | --- |
| Eigenvalues | 3.53, 0.30, 0.14, 0.03 |
| First component share of variance explained | 0.88 |

Principal components of the four measures, loadings on the first component.

Table 5. Analysis results: principal components of the four measures, loadings on the first componentTable

| Item | Value |
| --- | --- |
| Cancellation rate | −0.92 |
| Customer satisfaction | 0.98 |
| Engagement indicator mean | 0.91 |
| Intent to leave | −0.94 |

## Distribution of Recorded Values

This block is a derived analysis. Its own results are in Analysis Results. The blocks of its input indicators carry the response distribution of each input.

## Descriptive Statistics by Segment

This block is a derived analysis. Its own results are in Analysis Results. The blocks of its input indicators carry the segment breakdown of each input.

## Tests of Difference Between Segments

This block is a derived analysis. Its own results are in Analysis Results. The blocks of its input indicators carry the tests across segments for each input.

## Association with Cancellation Rate

This block is a derived analysis. Its own results are in Analysis Results. The blocks of its input indicators carry each input's association with this measure.

## Association with Customer Satisfaction

This block is a derived analysis. Its own results are in Analysis Results. The blocks of its input indicators carry each input's association with this measure.

## Association with the Engagement Indicator Mean

This block is a derived analysis. Its own results are in Analysis Results. The blocks of its input indicators carry each input's association with this measure.

## Association with Intent to Leave

This block is a derived analysis. Its own results are in Analysis Results. The blocks of its input indicators carry each input's association with this measure.

## Comparison of Associations Across the Four Measures

This block is a derived analysis. Its own results are in Analysis Results. The blocks of its input indicators carry each input's comparison across the four measures.

## Clustering and Effective Sample Size

This block is a derived analysis. Its own results are in Analysis Results. The blocks of its input indicators carry the clustering of each input.

## Equivalence Tests of Null Results

This block is a derived analysis. Its own results are in Analysis Results. The blocks of its input indicators carry each input's equivalence test.

## Robustness Checks

This block is a derived analysis. Its own results are in Analysis Results. The blocks of its input indicators carry each input's robustness checks.

## Measure Independence and Part-Whole Correction

This block is a derived analysis. Its own results are in Analysis Results. The blocks of its input indicators carry each input's identity check.

## Comparison with the Study Norm

This block is a derived analysis. Its own results are in Analysis Results. The blocks of its input indicators carry each input's profile.

## Interpretation of the Data

The four measures behaved largely as one shared reading of each engagement in this study set (first component share 0.88). Cancellation and customer satisfaction shared the most variance of any pair (R squared 0.88). The engagement indicator mean and cancellation shared the least (R squared 0.52).

## Limitations

The evidence is reported experience: what the delivery team said about its own engagement, gathered in one cross-section. The figures showed associations, not causes. Indicators about the financial institution were reported at second hand by vendor staff. Cancellation is a descriptive contrast, because canceled engagements were rated after they ended.

No limit applied beyond the standing limits of this block.

## Definitions

Table 6. DefinitionsTable

| Term | Definition |
| --- | --- |
| Indicator class | Derived from other indicators: computed by the study from other recorded fields, as Analysis Results sets out. |
| Failure category | One of the five failure categories of the Study Taxonomy, section 3. Only the 100 rated indicators carry one, and the indicator is not among them. |
| Direction | Each result is read in the direction of the measure it reports. |
| Engagement indicator mean | The mean of an engagement's 100 indicator ratings. |

## Sources and Provenance

Table 7. Sources and provenanceTable

| Item | Value |
| --- | --- |
| Study data | Study Data.xlsx, sha256 219eba0457274d04 |
| Statistics engine | compute_statistics.py, sha256 738319eef764602b |
| Statistics record | Computed Statistics.json, record ANALYSIS:four_measures, sha256 e405f65a43e37a6e |
| Computed | October 8, 2026, 01:38 UTC |
| Template | Indicator Statistical Analysis Template, version 1.1 of 2026-10-06 |
| Figures placed by script | 102 of 102 |


## Links to related study evidence

- [Part 1](https://akholi.com/outsourcing-2026-agentic-ai-tier-1-banks/part-1-engagement-outcomes/)
- [customer satisfaction](https://akholi.com/outsourcing-2026-agentic-ai-tier-1-banks/study-data/part-1-measure-customer-satisfaction/)
- [engagement indicator mean](https://akholi.com/outsourcing-2026-agentic-ai-tier-1-banks/study-data/part-1-measure-engagement-indicator-mean/)
- [intent to leave](https://akholi.com/outsourcing-2026-agentic-ai-tier-1-banks/study-data/part-4-c019/)
- [part 2](https://akholi.com/outsourcing-2026-agentic-ai-tier-1-banks/part-2-five-failure-categories/)
