followed by the injection site. Globally the
distribution is the same for both the MM and the
714M. Exceptions are part 4, adjacent to the
injection site, and part 8 where a significant larger
distribution of the MM bacteria is found compared
to 714M.
3.2 Distribution of the Amount of
Infection
Next, we analyze the relation between mutant and
wild type in the area covered by granulomas (cf.
CS[#]). In Figure 9 a graph, with 95% confidence, is
depicted of the comparison of the average area of
infection between MM and 714M.
Figure 9: Spatial comparison of the average total cluster
size for MM and 714M in comparison to the zebrafish
template.
Again, as with the cluster count, we normalize the
CS[i] over the total CS for both MM and 714M and
compare the results in Figure 10.
Figure 10: Spatial comparison of the normalized average
total cluster size for MM and 714M.
From the graph in Figure 10 it seems the mean
and the distribution is similar for some parts and
very different for others; i.e. 1, 4, 5 seems to have a
very different mean. Again, our null hypothesis
states that, under assumption that the two groups are
independent, the variances are equal. We apply the
Levene's Test for Equality of Variances to the CS[i],
with i in range [0,10]. The results are shown in
Table 4.
Table 4: Levene’s test for equality of variances for CS[i].
Part assume F Sig.
CS0 Equal var 1,245 0,266*
CS1 Equal var 0,060 0,807*
CS2 Equal var 5,108 0,025**
CS3 Equal var 0,159 0,690*
CS4 Equal var 12,545 0,001**
CS5 Equal var 10,019 0,002**
CS6 Equal var 0,750 0,388*
CS7 Equal var 1,306 0,255*
CS8 Equal var 0,014 0,907*
CS9 Equal var 4,466 0,036*
CS10 Equal var 1,202 0,274*
For parts 0, 1, 3, 6, 7, 8, 9,10 the significance
> 0.05 and thus our hypothesis is accepted. The
variances marked with * in Table 4 are equal and the
variances marked with ** are different. In Figure 10,
the differences in the mean seem considerable
though the variances for MM and 714M remains the
same.
To determine the difference of the mean values
we use the knowledge gained from the Levene’s test
to do the independent samples t-test. The results are
shown in Table 5.
Table 5: t-test for Equality of Means.
Part assume t Sig. (2-t)
Mean
Diff
Std. Err
Diff
CS0
Equal var
0,016 0,987 0,000 0,021
CS1
Equal var
2,065 0,040* 0,073 0,035
CS2
!Equal var
-1,739 0,084 -0,046 0,027
CS3
Equal var
0,517 0,606 0,006 0,012
CS4
!Equal var
2,176 0,032* 0,041 0,019
CS5
!Equal var
-2,102 0,037* -0,060 0,029
CS6
Equal var
-0,850 0,397 -0,018 0,022
CS7
Equal var
-0,305 0,761 -0,003 0,009
CS8
Equal var
0,558 0,578 0,004 0,007
CS9
Equal var
1,443 0,151 0,004 0,003
CS10
Equal var
-0,528 0,598 0,000 0,001
We observe there is a significant difference in
the mean value for parts 1, 4 and 5 (marked with * in
Table 5). This result is in correspondence with initial
observation of Figure 10 in which these means
seemed rather different.
The preliminary conclusions from these findings
are the following.
NUMERICAL ANALYSIS OF IMAGE BASED HIGH THROUGHPUT ZEBRAFISH INFECTION SCREENS -
Matching Meaning with Data
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