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Fig 1.

Flowchart of computing MFPCA in Phase II.

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Fig 2.

Flowchart of computing the PCWMS statistic in Phase II.

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Fig 3.

Flowchart of computing ARL for the PCWMS control chart in Phase II.

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Fig 4.

The illustration of IC model.

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Fig 5.

The illustration of OC model- scenario 1.

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Fig 6.

The illustration of OC model- scenario 2.

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Fig 7.

The illustration of OC model- scenario 3.

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Table 1.

Values of OC ARL and SDRL with different shifts when n = 10, 50, 100 under Scenario1.

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Table 10.

ARLs and SDRLs for the proposed control chart by VFPCA and MFPCA approaches with different correlations.

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Table 10 Expand

Table 2.

Values of OC ARL and SDRL with different shifts when n = 10, 50, 100 under Scenario2.

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Table 2 Expand

Table 3.

Values of OC ARL and SDRL with different shifts when n = 10, 50, 100 under Scenario3.

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Table 3 Expand

Table 4.

Values of OC ARL and SDRL with different shifts based on different percentages of total variation, under Scenario1.

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Table 5.

Values of OC ARL and SDRL with different shifts based on different percentages of total variation, under Scenario2.

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Table 5 Expand

Table 6.

Values of OC ARL and SDRL with different shifts based on different percentages of total variation, under Scenario3.

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Table 7.

Values of OC ARL and SDRL with different smoothing parameters under Scenario1.

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Table 8.

Values of OC ARL and SDRL with different smoothing parameters under Scenario 2.

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Table 8 Expand

Table 9.

Values of OC ARL and SDRL with different smoothing parameters under Scenario 3.

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Fig 8.

Proposed PCWMS control chart in detecting shift in variability with MFPCA approach.

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Fig 9.

Proposed PCWMS control chart in detecting shift in variability with MFPCA approach.

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