Table 2 Joint statistics.

From: Uniform spatial pooling explains topographic organization and deviation from receptive-field scale invariance in primate V1

 

log2(1/σx)

log2(σf)

σlog(f)

log2(σθ)

F1/F0

\(\frac{{\left| {\mu _{{\mathrm{ON}}} - \mu _{{\mathrm{OFF}}}} \right|}}{{\sigma _{{\mathrm{ON}}} + \sigma _{{\mathrm{OFF}}}}}\)

log2(fo)

 <difference>

0.84

−0.48

−0.15

3.65

0.06

−0.76

 r

0.18

0.50

−0.76

−0.55

−0.51

−0.22

 p

0.025

2.6e−12

3.6e−34

2.1e−15

6.0e−13

0.004

 Slope

0.08

0.29

−0.31

−0.45

−0.59

−0.06

 Intercept

1.69

0.19

1.1

5.03

1.58

0.25

log2[P(fo)]

 r (SI pooling)

0.21

0.52

0.8

0.54

0.46

N/A

 p (SI pooling)

0.01

3.1e−13

8.4e−41

1.2e−14

2.1e−10

N/A

  1. Top 5 rows: Joint statistics between the log2(fo) and other variables in this study. The first four column symbols—σx, σf, σlog(f), σθ—are RF width (°), linear SF bandwidth (c/°), logarithmic SF bandwidth (octaves), and orientation bandwidth (°). The last two column symbols are spatial phase selectivity and ON–OFF overlap. As indicated, log2 was taken for parameters in columns 1, 2, and 4, prior to comparing with log2(fo). The first row is the average difference between the column variable and log2(fo). The second and third rows are the Pearson correlation coefficient and p value relating the column variable to log2(fo). The fourth and fifth rows are the slope and intercept of the linear fit, where log2(fo) is the domain. Bottom 2 rows: The first five column parameters have a prediction from the pooled scale invariance model, which is a function of fo, generically identified as P(fo) on the left. Specifically, the prediction of the variables in columns 1–5 are given by Eqs. (5), (7)–(9) and (6), respectively. The Pearson correlation coefficient and p value between the model predictions and data are given in the bottom two rows.
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