こんにちは、
問題の説明と、提案された解決策を考慮して、 @statmanポイント #5 で、このデザインを作成しました (以下の表スクリプト)。カスタム デザインを使用して 5 つの連続因子を含む 32 回の実行応答曲面を作成し、実行をサイズ 4 (1 日あたりのインキュベーターあたりのフラスコ数に相当) のランダム ブロックにグループ化しました。表では、「日」変数を手動で追加し、「インキュベーター」を調整して、両方の日で 1 ～ 4 回繰り返すようにしました。次に、図に示すようにモデルを設定することで、ランダムな変動を説明することができます。
私は非常に興味があります@statmanまたは他の誰かがこのアプローチについて意見を持っています。
New Table( "day and incubator block design",
Add Rows( 32 ),
New Table Variable( "Design", "Custom Design" ),
New Table Variable( "Criterion", "I Optimal" ),
New Script(
"Model",
Fit Model(
Effects(
:incubator & Random, :X1 & RS, :X2 & RS, :X3 & RS, :X4 & RS,
:X5 & RS, :X1 * :X1, :X1 * :X2, :X2 * :X2, :X1 * :X3, :X2 * :X3,
:X3 * :X3, :X1 * :X4, :X2 * :X4, :X3 * :X4, :X4 * :X4, :X1 * :X5,
:X2 * :X5, :X3 * :X5, :X4 * :X5, :X5 * :X5
),
Y( :Y )
)
),
New Script(
"Evaluate Design",
DOE( Evaluate Design, X( Random Block, :X1, :X2, :X3, :X4, :X5 ) )
),
New Script(
"Fit Mixed",
Fit Model(
Y( :Y ),
Random Effects( :incubator ),
Effects(
:X1 & RS, :X2 & RS, :X3 & RS, :X4 & RS, :X5 & RS, :X1 * :X1,
:X1 * :X2, :X2 * :X2, :X1 * :X3, :X2 * :X3, :X3 * :X3, :X1 * :X4,
:X2 * :X4, :X3 * :X4, :X4 * :X4, :X1 * :X5, :X2 * :X5, :X3 * :X5,
:X4 * :X5, :X5 * :X5
),
NoBounds( 1 ),
Personality( "Mixed Model" ),
Run
)
),
New Script(
"DOE Dialog",
DOE(
Custom Design,
{Add Response( Maximize, "Y", ., ., . ),
Add Factor( Continuous, -1, 1, "X1", 0 ),
Add Factor( Continuous, -1, 1, "X2", 0 ),
Add Factor( Continuous, -1, 1, "X3", 0 ),
Add Factor( Continuous, -1, 1, "X4", 0 ),
Add Factor( Continuous, -1, 1, "X5", 0 ), Set Random Seed( 1910031543 ),
Number of Starts( 105 ), Add Term( {1, 0} ), Add Term( {1, 1} ),
Add Term( {2, 1} ), Add Term( {3, 1} ), Add Term( {4, 1} ),
Add Term( {5, 1} ), Add Term( {1, 2} ), Add Term( {1, 1}, {2, 1} ),
Add Term( {2, 2} ), Add Term( {1, 1}, {3, 1} ),
Add Term( {2, 1}, {3, 1} ), Add Term( {3, 2} ),
Add Term( {1, 1}, {4, 1} ), Add Term( {2, 1}, {4, 1} ),
Add Term( {3, 1}, {4, 1} ), Add Term( {4, 2} ),
Add Term( {1, 1}, {5, 1} ), Add Term( {2, 1}, {5, 1} ),
Add Term( {3, 1}, {5, 1} ), Add Term( {4, 1}, {5, 1} ),
Add Term( {5, 2} ), Set Runs Per Random Block( 4 ),
Set Sample Size( 32 ), Optimality Criterion( 2 ),
Simulate Responses( 0 ), Save X Matrix( 0 ), Make Design}
)
),
New Column( "Day",
Character,
"Nominal",
Set Property( "Design Role", Design Role( "Random Block" ) ),
Set Values(
{"1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1",
"1", "1", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2",
"2", "2", "2", "2"}
)
),
New Column( "incubator",
Character,
"Nominal",
Set Property( "Design Role", DesignRole( Random Block ) ),
Set Property(
"Value Order",
{Custom Order( {"1", "2", "3", "4", "5", "6", "7", "8"} )}
),
Set Values(
{"1", "1", "1", "1", "2", "2", "2", "2", "3", "3", "3", "3", "4", "4",
"4", "4", "1", "1", "1", "1", "2", "2", "2", "2", "3", "3", "3", "3",
"4", "4", "4", "4"}
)
),
New Column( "X1",
Numeric,
"Continuous",
Format( "Best", 12 ),
Set Property( "Coding", {-1, 1} ),
Set Property( "Design Role", DesignRole( Continuous ) ),
Set Property( "Factor Changes", Easy ),
Set Values(
[-1, -1, 1, 0, 1, 0, -1, 0, 1, 0, -1, 1, -1, 0, 0, 1, 1, 0, -1, 1, -1, 1,
-1, 1, -1, 1, 0, -1, 0, 1, 0, -1]
)
),
New Column( "X2",
Numeric,
"Continuous",
Format( "Best", 12 ),
Set Property( "Coding", {-1, 1} ),
Set Property( "Design Role", DesignRole( Continuous ) ),
Set Property( "Factor Changes", Easy ),
Set Values(
[-1, 0, 1, 0, -1, 1, 1, 0, -1, 0, -1, 1, 1, -1, 0, 1, -1, 1, 0, -1, 0, 1,
1, -1, -1, 0, 1, -1, 0, 1, -1, 1]
)
),
New Column( "X3",
Numeric,
"Continuous",
Format( "Best", 12 ),
Set Property( "Coding", {-1, 1} ),
Set Property( "Design Role", DesignRole( Continuous ) ),
Set Property( "Factor Changes", Easy ),
Set Values(
[-1, 0, 1, 0, -1, -1, 1, 0, 1, -1, 1, 0, -1, 0, 1, -1, 1, 1, -1, 0, 0, 1,
-1, -1, 1, 1, 0, -1, 0, -1, 1, 1]
)
),
New Column( "X4",
Numeric,
"Continuous",
Format( "Best", 12 ),
Set Property( "Coding", {-1, 1} ),
Set Property( "Design Role", DesignRole( Continuous ) ),
Set Property( "Factor Changes", Easy ),
Set Values(
[1, -1, 1, 0, 1, 1, 0, 0, 1, -1, -1, 0, 1, 0, 1, 1, -1, -1, 0, -1, 1,
-1, -1, 0, 1, 0, 0, -1, 1, -1, 0, 1]
)
),
New Column( "X5",
Numeric,
"Continuous",
Format( "Best", 12 ),
Set Property( "Coding", {-1, 1} ),
Set Property( "Design Role", DesignRole( Continuous ) ),
Set Property( "Factor Changes", Easy ),
Set Values(
[1, 0, -1, -1, -1, 0, -1, -1, 1, 1, 1, 0, -1, 0, 0, 1, -1, -1, 0, 1, 1,
1, 1, 0, -1, 0, 1, -1, 0, -1, 1, 1]
)
),
New Column( "Y",
Numeric,
"Continuous",
Format( "Best", 12 ),
Set Property(
"Response Limits",
{Goal( Maximize ), Lower( . ), Upper( . ), Importance( . )}
),
Set Values(
[., ., ., ., ., ., ., ., ., ., ., ., ., ., ., ., ., ., ., ., ., ., ., .,
., ., ., ., ., ., ., .]
)
)
)
