Panometry

A name with possibilities.

Keep the unknown card outside the measured average

Collection A has three fictional card widths: A1 is 40 mm, A2 is 50 mm and A3 has no supplied width. Collection B has B1 at 42 mm, B2 at 48 mm and B3 at 60 mm. The worksheet compares observed widths and reports coverage separately. These are invented values for an arithmetic example, not results from product testing.

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Supplied card widths in the Panometry coverage worksheetCollection A40 · 50 · unknown2 of 3 measuredCollection B42 · 48 · 603 of 3 measuredWidths in mm · unknown is not zero

01

Define the entries and the missing-value rule

Create columns for collection, card identifier, width in millimetres and observation status. Enter A3 as unknown rather than as zero. The inclusion rule for this worksheet is to use only supplied numeric widths. A therefore contributes two measured entries out of three listed cards, while B contributes three out of three. Keep the listed count and the measured count visible together. A future observation of A3 would add information to the dataset; it would not correct a measured zero because no zero was supplied in the first place.

Means and denominators in the Panometry coverage worksheetA: (40 + 50) ÷ 2 = 45 mmB: (42 + 48 + 60) ÷ 3 = 50 mmObserved difference: 5 mmDivide by measured entries

02

Calculate means using the measured counts

For A, add 40 and 50 to obtain 90 mm, then divide by two measured cards to obtain a mean width of 45 mm. For B, add 42, 48 and 60 to obtain 150 mm, then divide by three to obtain 50 mm. The observed means differ by 5 mm. Dividing A’s sum by all three listed cards would produce 30 mm and silently treat the missing width as zero. Write the sum and denominator beside each mean so that another reader can inspect the calculation directly.

Limits of the comparison in the Panometry coverage worksheetA3 remains unknownAll-three-card mean for A: unknownNo larger population is suppliedRecompute when A3 is observedKeep the conclusion with its inputs

03

Keep the conclusion attached to the observed set

The reusable worksheet records the quantity, unit, inclusion rule, listed count, measured count, sum, mean and unresolved entries. Its conclusion is limited to these supplied observations: B’s observed mean is 5 mm greater than A’s. It does not establish the mean for all three A cards, because A3 remains unknown. If A3 is measured later, retain this version and recompute with the new entry. Avoid describing B as generally wider across a larger population; the example supplies neither a sampling method nor evidence about any additional cards.

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