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Probe Level Models forDetection of DifferentialExpression
General Probe LevelModelyij= f( X)+εij• Where f(X) is a linear function of factor (andpossibly covariate) variables• Assume that E⎡ε ij⎤ = 0⎣⎦Var⎡⎣ε⎤ij ⎦ = σyij2= log N B2( ( PM ))ij
Page 2 and 3: Outline• What is Low-Level Analys
Page 4 and 5: High-Level Analysis• Clustering/C
Page 6 and 7: Brief TechnologyOverview• High de
Page 8 and 9: Two Probe TypesPM: the Perfect Matc
Page 10 and 11: Focusing on a SingleGeneChip Cell L
Page 12 and 13: Hybridization to the Chip
Page 14 and 15: Chip dat file - checkered board - o
Page 16 and 17: Chip dat file - checkered board - c
Page 18 and 19: Constructing a geneexpression measu
Page 20 and 21: Background/SignalAdjustment• A me
Page 22 and 23: Normalization“Non-biological fact
Page 24 and 25: Summarization• Reduce the 11-20 p
Page 26 and 27: Affymetrix Spike-in Data• 59 chip
Page 28 and 29: Assessing Bias:Observed Expression
Page 30: Assessing Variability:M vs A plots
Page 38 and 39: Summary of Trade-offsBackgroundMeth
Page 43 and 44: Scaling is Not Sufficient
Page 45 and 46: Little effect on Spike-insMethodAll
Page 47: Comparing EstablishedExpression Mea
Page 51 and 52: Fitting the PLM• Robust regressio
Page 53 and 54: Fold ChangeFC = X − XlmWhereXl=
Page 55 and 56: “Robust” t-statistict=Xlsnm2s2l
Page 57 and 58: Limma “ebayes” t-statistic• G
Page 59 and 60: Probe Level Model teststatisticstPL
Page 65: What Happens as the Numberof Arrays
Page 71 and 72: ResultsMethod Individual Models Sin
Page 75 and 76: What is going on here?• Examine r
Page 77 and 78: Low Non-Differential
Page 79 and 80: High Non-Differential
Page 81 and 82: GeneLogic Tonsil dataset
Page 83 and 84: ResultsMethod 3 vs 3 4 vs 4 5 vs 50
Page 86 and 87: Ongoing work in this area• Techno
Page 88 and 89: Additional Slides
Page 90 and 91: Original RMA Background• Convolut
Page 92 and 93: A Standard Curve AdjustmentBased on
Page 94 and 95: γRelates to Concentration
Page 96 and 97: The Two Curves Yield anAdjustment C
Page 98 and 99:
Sort columns of of originalmatrixTa
Page 100 and 101:
RMA Model• To each probeset (k),
Page 102 and 103:
Basic RMA modelLetthenyij= log N B2
Page 104 and 105:
SlopeAllMidLowHighValue0.4930.6650.
Page 106 and 107:
SlopeAllMidLowHighValue0.5890.7510.
Page 108 and 109:
SlopeAllMidLowHighValue0.6950.820.5
Page 110 and 111:
Slope: 0.484
Page 112 and 113:
Slope: 0.583
Page 114 and 115:
Slope: 0.692
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