Module: RESV

Defined in:
lib/datafarming/res_v_seqs.rb

Constant Summary collapse

INDEX =

Generate a Resolution V Fractional Factorial design for the specified number of factors. The design is guaranteed to yield unconfounded interactions for all pairs of factors. The design uses standardized notation, i.e., -1 represents a low setting and 1 represents a high setting for each factor.

Arguments

  • number_of_factors -> the number of factors in your design. Limit is 120.

Returns

  • a two-dimensional array specifying the design, where each column corresponds to a factor and each row is a design point.

Author

Paul J Sanchez ([email protected])

Copyright

Copyright © 2023 Paul J Sanchez

License

MIT

[1, 2, 4, 8, 15, 16, 32, 51, 64, 85, 106, 128, 150, 171,
219, 237, 247, 256, 279, 297, 455, 512, 537, 557, 594, 643, 803,
863, 998, 1024, 1051, 1070, 1112, 1169, 1333, 1345, 1620, 1866,
2048, 2076, 2085, 2185, 2372, 2456, 2618, 2800, 2873, 3127, 3284,
3483, 3557, 3763, 4096, 4125, 4135, 4174, 4435, 4459, 4469, 4497,
4752, 5255, 5732, 5804, 5915, 6100, 6369, 6907, 7069, 8192, 8263,
8351, 8422, 8458, 8571, 8750, 8858, 9124, 9314, 9500, 10_026,
10_455, 10_556, 11_778, 11_885, 11_984, 13_548, 14_007, 14_514,
14_965, 15_125, 15_554, 16_384, 16_457, 16_517, 16_609, 16_771,
16_853, 17_022, 17_453, 17_891, 18_073, 18_562, 18_980, 19_030,
19_932, 20_075, 20_745, 21_544, 22_633, 23_200, 24_167, 25_700,
26_360, 26_591, 26_776, 28_443, 28_905, 29_577, 32_705]
POWER = 
[1, 2, 4, 8, 16, 16, 32, 64, 64, 128, 128, 128, 256, 256,
256, 256, 256, 256, 512, 512, 512, 512, 1024, 1024, 1024, 1024,
1024, 1024, 1024, 1024, 2048, 2048, 2048, 2048, 2048, 2048, 2048,
2048, 2048, 4096, 4096, 4096, 4096, 4096, 4096, 4096, 4096, 4096,
4096, 4096, 4096, 4096, 4096, 8192, 8192, 8192, 8192, 8192, 8192,
8192, 8192, 8192, 8192, 8192, 8192, 8192, 8192, 8192, 8192, 8192,
16_384, 16_384, 16_384, 16_384, 16_384, 16_384, 16_384, 16_384,
16_384, 16_384, 16_384, 16_384, 16_384, 16_384, 16_384, 16_384,
16_384, 16_384, 16_384, 16_384, 16_384, 16_384, 16_384, 32_768,
32_768, 32_768, 32_768, 32_768, 32_768, 32_768, 32_768, 32_768,
32_768, 32_768, 32_768, 32_768, 32_768, 32_768, 32_768, 32_768,
32_768, 32_768, 32_768, 32_768, 32_768, 32_768, 32_768, 32_768,
32_768, 32_768, 32_768]

Class Method Summary collapse

Class Method Details

.make_design(number_of_factors) ⇒ Object 



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# File 'lib/datafarming/res_v_seqs.rb', line 46

def RESV.make_design(number_of_factors)
  Array.new(number_of_factors) do |i|
    Array.new(POWER[number_of_factors], 0).tap { |a| a[INDEX[i]] = 1 }.hadamard
  end.transpose
end

.star_pts(k) ⇒ Object 



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# File 'lib/datafarming/res_v_seqs.rb', line 52

def RESV.star_pts(k)
  Array.new(2*k+1) do |i|
    Array.new(k) { |j| (j+1) == (i+1) / 2 ? (i.odd? ? -1 : 1) : 0 }
  end
end