Supplementary Materials
Measuring Biological Interactions
Curtis A. Bagne, Ph.D.
Founder, DataSpeaks, Inc.
May 2, 2001
Acknowledgement: The data for these analyses are described
in two publications.
Padmanabhan
V, McFadden K, Mauger DT, Karsch FJ, Midgley AR 1997 Neuroendocrine control of
follicle-stimulating hormone (FSH) secretion. 1. Direct evidence for separate
episodic and basal components of FSH secretion. Endocrinology 138:424-432
Midgley
AR, McFadden K, Ghazzi M, Karsch FJ, Brown MR, Mauger DT, Padmanabhan V 1997
Nonclassical secretory dynamics of LH revealed by hypothalamo-hypophyseal
portal sampling of sheep. Endocrine 6:133-143
The
authors of these publications are acknowledged for kindly providing access to
the data.
Abbreviations:
D Delay
DV Dependent Variable
DVEC Dependent Variable Episode Criterion
DVEL Dependent Variable Episode Length
GnRH Gonadotropin Releasing Hormone
J-FSH Jugular Follicle Stimulating Hormone
J-LH Jugular Leutenizing Hormone
IVEC Independent Variable Episode Criterion
IVEL Independent Variable Episode Length
LAS Longitudinal Association Score
P Persistence
J-FSH Jugular Follicle Stimulating Hormone
P-FSH Portal Follicle Stimulating Hormone
Notations
such as “GnRH to P-LH” mean that GnRH is functioning as the IV and P-LH is
functioning as the DV in analyses.
All
results are subject to review.
Primary Results
The tables on this page and the next are based on a
scoring protocol that uses residuals from linear trend and the z-score
transformation with 12 levels for both IVs and DVs. The scoring options are
IVEL values 1 through 4 with all possible optional values of IVEC; D = 0, 1,
and 2; P = 1 and 2; and DVEL values 1 through 4 with all possible optional
values of DVEC.
GnRH to P-LH
|
Measure
|
Ewe
|
Mean
|
S.D.*
|
2-tailed
p
|
|
1
|
2
|
3
|
5
|
6
|
10
|
|
LAS
|
35.863
|
35.937
|
76.723
|
35.316
|
28.519
|
33.158
|
40.919
|
17.763
|
.0024
|
|
Strength
|
1.000
|
1.000
|
1.000
|
1.000
|
.875
|
1.000
|
.979
|
.051
|
<.0001
|
|
Strength D
|
.879
|
.881
|
.938
|
.878
|
.734
|
.826
|
.856
|
.070
|
<.0001
|
|
Strength I
|
.880
|
.882
|
.939
|
.879
|
.734
|
.824
|
.856
|
.070
|
<.0001
|
*Computed with N-1.
GnRH to J-LH
|
Measure
|
Ewe
|
Mean
|
S.D.*
|
2-tailed
p
|
|
1
|
2
|
3
|
5**
|
6
|
10
|
|
LAS
|
29.503
|
25.522
|
52.844
|
29.417
|
27.142
|
32.987
|
32.903
|
10.090
|
.0005
|
|
Strength
|
.770
|
.868
|
.731
|
1.000
|
.733
|
1.000
|
.850
|
.126
|
<.0001
|
|
Strength D
|
.770
|
.647
|
.660
|
1.000
|
.684
|
.854
|
.769
|
.138
|
<.0001
|
|
Strength I
|
.770
|
.646
|
.660
|
1.000
|
.684
|
.855
|
.769
|
.138
|
<.0001
|
*Computed with N-1.
**4, 0, 0, 62
GnRH to P-FSH
|
Measure
|
Ewe
|
Mean
|
S.D.*
|
2-tailed
p
|
|
1
|
2
|
3
|
5**
|
6
|
10
|
|
LAS
|
23.048
|
26.219
|
62.909
|
24.420
|
19.437
|
10.127
|
27.693
|
18.173
|
.0135
|
|
Strength
|
.856
|
.742
|
.829
|
1.000
|
.489
|
.331
|
.708
|
.250
|
.0010
|
|
Strength D
|
.593
|
.652
|
.782
|
.669
|
.489
|
.251
|
.572
|
.185
|
.0006
|
|
Strength I
|
.591
|
.653
|
.782
|
.617
|
.489
|
.251
|
.564
|
.180
|
.0006
|
*Computed with N-1.
**6, 0, 3, 61
GnRH to J-FSH
|
Measure
|
Ewe
|
Mean
|
S.D.*
|
2-tailed
p
|
|
1
|
2
|
3
|
5***
|
6
|
10**
|
|
LAS
|
17.293
|
14.604
|
33.838
|
31.865
|
11.082
|
24.207
|
22.148
|
9.362
|
.0022
|
|
Strength
|
.514
|
.509
|
.480
|
1.000
|
1.000
|
1.000
|
.761
|
.274
|
.0011
|
|
Strength D
|
.450
|
.375
|
.427
|
.871
|
.671
|
1.000
|
.632
|
.259
|
.0019
|
|
Strength I
|
.450
|
.376
|
.427
|
.851
|
.377
|
1.000
|
.580
|
.273
|
.0035
|
*Computed with N-1.
**3, 0, 0, 64
***7, 0, 1, 59
Primary Results (continued)
P-LH to J-LH
|
Measure
|
Ewe
|
Mean
|
S.D.*
|
2-tailed
p
|
|
1
|
2
|
3
|
5
|
6**
|
10
|
|
LAS
|
25.871
|
26.968
|
53.892
|
26.618
|
29.707
|
28.714
|
31.962
|
10.837
|
.0008
|
|
Strength
|
.752
|
.768
|
.893
|
.812
|
1.000
|
.792
|
.836
|
.094
|
<.0001
|
|
Strength D
|
.664
|
.683
|
.673
|
.678
|
1.000
|
.715
|
.736
|
.131
|
<.0001
|
|
Strength I
|
.664
|
.684
|
.672
|
.679
|
1.000
|
.713
|
.735
|
.131
|
<.0001
|
*Computed with N-1.
**63, 0, 0, 4
P-FSH to J-FSH
|
Measure
|
Ewe
|
Mean
|
S.D.*
|
2-tailed
p
|
|
1
|
2
|
3
|
5**
|
6****
|
10***
|
|
LAS
|
18.865
|
16.008
|
31.971
|
25.351
|
-23.087
|
15.043
|
14.025
|
19.267
|
.1347
|
|
Strength
|
.599
|
.669
|
.524
|
1.000
|
-.752
|
1.000
|
.507
|
.649
|
.1141
|
|
Strength D
|
.488
|
.410
|
.400
|
.748
|
-.599
|
.417
|
.312
|
.465
|
.1630
|
|
Strength I
|
.490
|
.408
|
.400
|
.887
|
-.591
|
.612
|
.368
|
.503
|
.1328
|
*Computed with N-1.
**4, 1, 0, 64
***63, 0, 3, 3
****Results of Ewe 6 appear to pick up the negative
association between higher levels of P-FSH and rather long delayed low levels
of J-FSH. This anomalous result appears to be related to the fact that the
“half disappearance” time of P-FSH for Ewe 1 is 18.7 minutes compared to 3.4,
3.6, 6.9, 6.6, and 7.8 for the other ewes (Padmanabhan et al, 1997).
As described in the PowerPoint presentation, the primary
analysis was conducted using selected values of 8 analysis parameters.
Selecting the most extreme positive or negative value summarizes the resulting
arrays of LASs. This table identifies levels for each of the 8 analysis
parameters for each combination of ewe and association.
|
Analysis
Parameter
|
Association
|
Ewe
|
Range
|
|
1
|
2
|
3
|
5
|
10
|
|
IV Level*
|
GnRH to P-LH
|
9.03
|
6.73
|
22.57
|
9.02
|
0.98
|
0.98 – 22.57
|
|
GnRH to J-LH
|
27.08
|
-6.73
|
-6.16
|
11.02
|
-2.95
|
- 6.73 – 27.08
|
|
GnRH to P-FSH
|
21.06
|
6.73
|
22.57
|
9.02
|
-4.92
|
-4.92 – 22.57
|
|
GnRH to J-FSH
|
21.06
|
-11.24
|
18.47
|
11.02
|
0.98
|
-11.24 – 21.06
|
|
IV Episode
Length
|
GnRH to P-LH
|
1
|
1
|
1
|
1
|
2
|
1 – 2
|
|
GnRH to J-LH
|
3
|
1
|
4
|
3
|
3
|
1 – 3
|
|
GnRH to P-FSH
|
3
|
1
|
3
|
1
|
4
|
1 – 4
|
|
GnRH to J-FSH
|
4
|
3
|
4
|
4
|
4
|
3 – 4
|
|
IV Episode
Criterion
|
GnRH to P-LH
|
|
|
|
|
|
|
|
1
|
1
|
1
|
1
|
2
|
1 – 2
|
|
GnRH to J-LH
|
1
|
1
|
1
|
2
|
1
|
1 – 2
|
|
GnRH to P-FSH
|
2
|
1
|
1
|
1
|
2
|
1 – 2
|
|
GnRH to J-FSH
|
2
|
3
|
2
|
2
|
3
|
2 – 3
|
|
Delay
|
GnRH to P-LH
|
|
|
|
|
|
|
|
0
|
0
|
0
|
0
|
0
|
0
|
|
GnRH to J-LH
|
1
|
2
|
1
|
2
|
2
|
1 – 2
|
|
GnRH to P-FSH
|
0
|
0
|
0
|
1
|
2
|
0 – 2
|
|
GnRH to J-FSH
|
1
|
0
|
1
|
0
|
2
|
0 – 2
|
|
Persistence
|
GnRH to P-LH
|
|
|
|
|
|
|
|
2
|
2
|
3
|
3
|
3
|
2 – 3
|
|
GnRH to J-LH
|
3
|
2
|
3
|
3
|
3
|
2 – 3
|
|
GnRH to P-FSH
|
3
|
2
|
3
|
1
|
3
|
1 – 3
|
|
GnRH to J-FSH
|
3
|
3
|
3
|
3
|
3
|
3
|
|
DV Level*
|
GnRH to P-LH
|
|
|
|
|
|
|
|
-38.90
|
-14.92
|
31.26
|
7.17
|
44.56
|
-38.90 – 44.56
|
|
GnRH to J-LH
|
0.25
|
1.41
|
-2.62
|
2.10
|
-1.33
|
-2.62 – 2.10
|
|
GnRH to P-FSH
|
41.59
|
18.80
|
16.64
|
5.98
|
7.25
|
5.98 – 41.59
|
|
GnRH to J-FSH
|
0.10
|
-1.38
|
2.18
|
1.02
|
0.70
|
-1.38 – 2.18
|
|
DV Episode
Length
|
GnRH to P-LH
|
|
|
|
|
|
|
|
1
|
1
|
2
|
2
|
3
|
1 – 3
|
|
GnRH to J-LH
|
2
|
2
|
3
|
4
|
4
|
2 – 4
|
|
GnRH to P-FSH
|
4
|
2
|
4
|
2
|
1
|
1 – 4
|
|
GnRH to J-FSH
|
4
|
4
|
4
|
3
|
4
|
3 – 4
|
|
DV Episode
Length
|
GnRH to P-LH
|
|
|
|
|
|
|
|
1
|
1
|
1
|
1
|
1
|
1
|
|
GnRH to J-LH
|
1
|
1
|
1
|
3
|
2
|
1 – 3
|
|
GnRH to P-FSH
|
1
|
1
|
1
|
2
|
1
|
1 – 2
|
|
GnRH to J-FSH
|
3
|
4
|
3
|
2
|
3
|
2 – 4
|
*IV level and DV level are expressed in terms of residuals
from a linear regression line.
This table provides part of the data used to form the graphs
in the PowerPoint presentation. These data are for the lines labeled “extensive
options.” The values are mean (across ewes) strength of longitudinal
association scores with respect to the dependent variable.
“Extensive options” are defined as follows. The strength
scores were obtained with residuals from linear trend and the “fine” z-score
transformation. The scoring options are IVEL levels 1 through 4 and all
possible values of IVEC, D levels 0 through 6, P levels 1 and 2, DVEL levels 1
through 4 and all possible values of DVEC.
|
P-LH to GnRH Delay
|
GnRH to P-LH Delay
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
.235
|
-.620*
|
-.745**
|
-.730**
|
-.682**
|
.723**
|
.855**
|
.857**
|
.823**
|
.457
|
-.673*
|
-.755**
|
-.760**
|
-.662*
|
|
J-LH to GnRH
|
GnRH to J-LH
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
.517*
|
.483*
|
-.375
|
-.617*
|
-.620*
|
-.598*
|
-.082
|
.616**
|
.703**
|
.763**
|
.662**
|
.422
|
-.532*
|
-.560*
|
|
P-FSH to GnRH
|
GnRH to P-FSH
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
.032
|
-.380*
|
-.485*
|
-.462*
|
-.200
|
.355
|
.667*
|
.557*
|
.528*
|
.048
|
.390*
|
-.447**
|
-.438*
|
-.160
|
|
J-FSH to GnRH
|
GnRH to J-FSH
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
.073
|
-.177
|
-.148
|
-.257*
|
-.278
|
-.037
|
.353*
|
.482*
|
.358
|
.643*
|
.492*
|
.073
|
-.208
|
-.288
|
|
J-LH to P-LH
|
P-LH to J-LH
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
.510*
|
-.018
|
-.532*
|
-.653*
|
-.545
|
-.375
|
.412
|
.662**
|
.732**
|
.668**
|
.603**
|
-.390
|
-.540**
|
-.542*
|
|
P-FSH to P-LH
|
P-LH to P-FSH
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
-.460
|
-.388
|
-.507*
|
-.433
|
.065
|
.622**
|
.713*
|
.715**
|
.653*
|
-.047
|
-.523**
|
-.533**
|
-.115
|
-.163
|
|
J-FSH to P-LH
|
P-LH to J-FSH
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
-.138
|
-.563
|
-.695
|
-.633*
|
-.182
|
-.067
|
.087
|
.032
|
.182
|
.267
|
.207
|
-.148
|
-.303
|
-.342
|
|
P-FSH to J-LH
|
J-LH to P-FSH
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
-.287
|
-.315
|
-.052
|
.285
|
.542*
|
.428*
|
.423
|
-.112
|
-.442*
|
-.507**
|
-.307
|
-.263
|
.212
|
.337*
|
|
J-FSH to J-LH
|
J-LH to J-FSH
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
-.427*
|
-.322*
|
.267
|
-.210
|
-.093
|
.130
|
.307
|
.283
|
.235
|
-.140
|
-.355
|
-.283
|
-.260
|
-.560*
|
|
J-FSH to P-FSH
|
P-FSH to J-FSH
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
.085
|
-.283
|
.297
|
-.080
|
.057
|
.050
|
.295
|
.258
|
.097
|
.230
|
.412*
|
.312
|
.243
|
.117
|
* p < .01
** p < .0001
This table provides part of the data used to form the graphs
in the PowerPoint presentation. These data are for the lines labeled “limited
options.” The values are mean (across ewes) strength of longitudinal
association scores with respect to the dependent variable.
“Limited options” are defined as follows. As with the
previous table for “extensive options,” the strength scores were obtained with
residuals from linear trend and the “fine” z-score transformation. Selected
scoring options are D levels 0 through 6. Optional values of IVEL, IVEC, P,
DVEL, and DVEC were not selected for analyses summarized by this table.
|
P-LH to GnRH Delay
|
GnRH to P-LH Delay
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
.048
|
-.175*
|
-.197*
|
-.190*
|
-.205*
|
.080
|
.643**
|
.645**
|
.615**
|
.180*
|
-.150*
|
-.238*
|
-.188*
|
-.158*
|
|
J-LH to GnRH
|
GnRH to J-LH
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
.257*
|
.170
|
-.102
|
-.262
|
-.428*
|
-.358*
|
-.008
|
-.010
|
.323*
|
.508*
|
.240*
|
.115
|
-.183
|
-.265*
|
|
P-FSH to GnRH
|
GnRH to P-FSH
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
-.018
|
-.092**
|
-.108
|
-.113*
|
-.132*
|
-.055
|
.422*
|
.420*
|
.232*
|
.002
|
-.123*
|
-.108*
|
-.082
|
-.093*
|
|
J-FSH to GnRH
|
GnRH to J-FSH
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
.060
|
.027
|
-.053
|
-.075
|
-.073
|
.060
|
.037
|
.037
|
.075
|
.122*
|
.073
|
.020
|
-.030
|
-.077
|
|
J-LH to P-LH
|
P-LH to J-LH
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
.235*
|
-.070
|
-.203
|
-.408*
|
-.495*
|
-.153
|
.227*
|
.220*
|
.513*
|
.418*
|
.207**
|
.107
|
-.313*
|
-.383*
|
|
P-FSH to P-LH
|
P-LH to P-FSH
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
-.070
|
-.112*
|
-.100
|
-.138*
|
-.037
|
.258*
|
.640*
|
.635*
|
.147*
|
-.118*
|
-.133*
|
-.138*
|
-.133*
|
-.068
|
|
J-FSH to P-LH
|
P-LH to J-FSH
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
-.072
|
-.097
|
-.085
|
-.083
|
-.090
|
.045
|
.040
|
.038
|
.087
|
.075
|
.033
|
.013
|
-.092
|
-.113
|
|
P-FSH to J-LH
|
J-LH to P-FSH
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
-.183*
|
-.153*
|
.005
|
.147*
|
-.238*
|
.208*
|
.060
|
.060
|
-.152*
|
-.290*
|
-.167*
|
-.100
|
.033
|
.105*
|
|
J-FSH to J-LH
|
J-LH to J-FSH
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
-.057
|
-.103
|
-.123*
|
-.087
|
.043
|
.090
|
.143
|
.142
|
.098
|
-.022
|
-.020
|
-.033
|
-.120*
|
-.110*
|
|
J-FSH to P-FSH
|
P-FSH to J-FSH
|
|
6
|
5
|
4
|
3
|
2
|
1
|
0
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
|
.058
|
-.022
|
-.023
|
-.080
|
-.063
|
-.013
|
.027
|
.027
|
.067
|
.107*
|
.053
|
.042
|
.013
|
-.070
|
* p < .01
** p < .0001
