places, estimated with the adjustment of the
network and obtained from cartography at
small scale, shows a relevant difference
between them as it can be seen in the above
table.
The places:
• GAMBARIE
• PENTIMELE
are not in the city and they have been
identified from a cartography at small scale.
So, in this case, even if the difference are too
big, such difference may be accepted.
On the contrary, the places:
• RAVAGNESE
• RC CENTRO
Are situated inside the city (here it’s available
the cartography at large and medium scale) so
the identification of errors take us not to accept
such differences.
COORDINATE DIFFERENCE
PLACES
AN (m)
AE (m)
Gambarie
75.59
-26.23
RAVAGNESE
(Saracinello)
-350.87
245.94
PENTIMELE
-24.70
-5.42
RC Centro
242.00
411.39
In conclusion it’s to mark that that the results
are good but the sample was not big enough to
allow us to formulate reliable considerations.
On the contrary, a bigger sample would have
allowed us to do a proper statistical analysis
and to obtain a more consistent validation of
the survey data.
In the appendix, it’s explained the developing
of a methodology for data analysis with
multivariate statistical inference that is very
useful to solve problem like that. In fact the
distribution free inference allow to judge the
fixing between histograms and distributions,
the dependence or the independence of the
samples and their dispersion in both cases.
Appendix
A) DISTRIBUTION-FREE INFERENCE
Distribution-free significance tests (sometimes
called non-parametric significance tests,
although the two terms are not synonyms)
collect a broad category of significance tests,
that can be used instead of classical
significance tests.
Distribution-free significance tests present
some advantages over classical ones:
♦ ###they ask soft, a priori, hypotheses on
the behaviour of statistical populations;
♦ ###their understanding is usually easy and
generally quite immediate;
♦ ###they don't ask heavy calculation,
neither for the storage of information nor
for the processing time.
However some disadvantages over classical
ones belong, by definition, to distribution-free
significance tests:
♦ ###they waste information;
♦ ###they tend to be too conservative, i.e.
the null hypothesis is accepted too often.