Platform/AHP Priority
Decision priorities and pairwise comparison
AHP Priority

Rank priorities you can defend.

The Analytic Hierarchy Process turns pairwise comparisons into eigenvalue-based weights — with up to 5 levels of sub-criteria, consistency checks, segment analysis, and a full ranking table.

Pairwise comparisonUp to 5 hierarchy levelsEigenvalue weightsConsistency ratio (CR)Segment AHPAI interpretation
1–9
Comparison scale
5
Max hierarchy levels
CR
Consistency ratio
AI
Interpretation

Setting priorities — sound familiar?

01Choosing among options by gut instead of a method?
02Too many criteria to weigh priorities cleanly?
03No way to check whether the judgments are consistent?
04Stakeholders disagree — hard to reach consensus?

AHP derives weights from pairwise comparisons — and checks consistency.

01 · PAIRWISE MATRIX & WEIGHTS

Compare two criteria at a time.

Geometric mean of all judgments → eigenvalue weights.

Respondents compare each pair of criteria on the standard 1–9 Saaty scale. Skari aggregates the responses using the geometric mean, builds the reciprocal pairwise matrix, and derives priority weights from the principal eigenvalue.

Top-level Pairwise Matrix

CR=0.093 ✓
PriceQualityDeliveryWeight
Price13.009.0064.84%
Quality1/3.018.0029.97%
Delivery1/9.01/8.015.19%
Price
65%
Quality
30%
Delivery
5%

Hierarchy Builder

Up to 5 levels
Goal: Select the best optionL1 · Goal
Criteria: QualityL2 · Criteria
Sub-criteria: DurabilityL3 · Sub
Sub-criteria: MaterialL4 · Sub
Sub-criteria: Coating finishL5 · Sub
Criteria: PriceL2 · Criteria
Criteria: Delivery speedL2 · Criteria

Global weight = product of all level weights from Goal down to each leaf criterion.

02 · UP TO 5 HIERARCHY LEVELS

Nest sub-criteria up to 5 levels deep.

Goal → Criteria → Sub-criteria → … → Leaf.

Real decisions are rarely flat. Skari lets you build a full decision hierarchy — up to 5 levels — so "Quality" can have sub-criteria like Durability and Performance, and each sub-criterion can be broken down further. Global weights are computed as the product of all level weights from the goal to each leaf.

03 · CONSISTENCY ANALYSIS

Know if judgments are coherent.

CR ≤ 0.10 = acceptable. Higher = re-judge flagged.

Skari reports λmax, CI, RI, and CR for every pairwise matrix. The CR Distribution chart shows how many respondents fall in each consistency band, and any CR ≥ 0.10 is flagged so you can identify and re-contact inconsistent respondents.

Consistency Analysis

CR=0.093 ✓

CR Distribution

0–0.05
0.05–0.1
0.1–0.2
>0.2
MetricValueNote
λ max3.1078Ideal = 3
CI0.0539(λmax − n) / (n − 1)
RI0.5800For n = 3
CR0.0930✓ Acceptable

Agreement & Concentration

KENDALL'S W

1.00

Strong agreement

CONSENSUS

100%

rank concordance · n=30

MEAN CV

4%

Tight estimates

HHI

0.51

Fairly balanced

Weight Dispersion by Criterion

Price
CV 1%
Quality
CV 4%
Delivery
CV 7%

Wide box / high CV = respondents disagree on that criterion's importance.

04 · AGREEMENT & CONCENTRATION

Do respondents agree?

Kendall's W, HHI, and weight dispersion in one panel.

Beyond individual weights, Skari measures how much respondents agree (Kendall's W and rank concordance), how concentrated the weights are (HHI), and how spread each criterion's weight is across respondents (IQR box and CV). High dispersion on one criterion is a signal to run segment analysis.

05 · SEGMENT AHP

Do different groups prioritize differently?

Compare priority weights across respondent segments.

Select any survey question to split respondents into groups — by age, region, job role, or any categorical variable. Skari computes separate AHP weights for each segment and shows a heatmap table where the highest weight per criterion is flagged with a ▲ marker.

Segment AHP

Age range
Criterion45–54 (n=12)18–24 (n=6)65+ (n=4)35–44 (n=2)
Price15.7%16.6%15.7%15.7%
Quality59.4%62.6%59.4%59.4%
Delivery24.9%20.9%24.9%24.9%

Heatmap: deeper green = higher weight · ▲ marks each criterion's top segment

Final Ranking

Global weight · all levels

PriceDeliveryQuality
RankCriterionParentGlobal Wt.CR
1Price
64.84%
0.093 ✓
2Quality
14.98%
0.093 ✓
3Quality
14.98%
0.093 ✓
4Delivery
5.19%
0.093 ✓

06 · FINAL RANKING & RADAR

One table. Every criterion ranked.

Global weight, parent, and CR — all in one view.

The Final Ranking table lists every criterion and sub-criterion by global weight, shows its parent in the hierarchy, and flags the CR. The Radar View gives a visual summary of how priorities are distributed — making it easy to communicate the result to stakeholders.

IN THE REPORT

Everything AHP Priority delivers.

Pairwise judgments in — weighted priorities out.

Pairwise matrix & weights

Derive priority weights from pairwise comparisons.

Up to 5 hierarchy levels

Model goals, criteria, sub-criteria, and alternatives.

Consistency ratio (CR)

Flag inconsistent judgments (CR > 0.1).

Agreement & concentration

How aligned respondents are, and how concentrated weights are.

Segment AHP

Compare priorities across respondent groups.

Final ranking & radar

Rank alternatives with a radar profile.

Group AHP

Aggregate judgments across many evaluators.

Auto interpretation

Plain-language reading of weights and consistency.

Prioritize with rigor.

Pairwise judgments in · eigenvalue weights, CR, segment analysis, and final ranking out.

No credit card required
Up to 5 hierarchy levels