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Assessing the Repeatability and Reproducibility of Magnetic Flux Measurements and their Potential to Discriminate Toner Printed Documents Cover

Assessing the Repeatability and Reproducibility of Magnetic Flux Measurements and their Potential to Discriminate Toner Printed Documents

Open Access
|Dec 2018

Figures & Tables

Table 1.

Summary of the sample designation, device, and toner type information for the known origin samples analyzed.

Sample NumberBrand and ModelToner Type
1Canon iR 2230Canon Toner C - EXV 11
56Canon iR 3300Canon Toner C - EXV 3
66Canon iR 2200Canon Toner C - EXV 3
144Canon iR 3025NCanon Toner C - EXV 11
161Canon iR 3035NCanon Toner C - EXV 12
Figure 1.

Standard text on which magnetic flux was measured for all phase 1 samples. 8 pt, 10 pt, and 12 pt font respectively.

Figure 2.

Plots of magnetic flux a function of toner area for all phase 2 samples with linear trend lines showcasing the range in R2 coefficients. Although the linear model was found to effectively model the relationship between toner area and magnetic flux, there were some limitations to the linear model which could contribute to the observed variation in R2 coefficients.

Figure 3.

Box plot of all phase 2 data. Note the visual differences between groups. ANOVA was used to check for significant variance within groups as well as between the groups that appear to overlap (samples 1 and 161).

Table 2.

Summary of results of within-group ANOVA testing of phase 2 data (a=0.05, pcrit=0.05)

ANOVA Within GroupsF-statp-value
Sample 1 - 8 pt, 10 pt, and 12 pt1.43.271
Sample 56 - 8 pt, 10 pt, and 12 pt134<.001
Sample 66 - 8 pt, 10 pt, and 12 pt.220.653
Sample 144 - 8 pt, 10 pt, and 12 pt11.4.012
Sample 161 - 8 pt, 10 pt, and 12 pt3.20.117
Table 3.

Results of within-group Welch 2-sample t-tests (α=0.05, pcrit=0.05).

Welch 2 Sample t-test Within Groupsp-value
Sample 1 font 8 and Sample 1 font 10.010
Sample 1 font 8 and Sample 1 font 12.507
Sample 1 font 10 and Sample 1 font 12.317
Sample 56 font 8 and Sample 56 font 10.168
Sample 56 font 8 and Sample 56 font 12.112
Sample 56 font 10 and Sample 56 font 12.897
Sample 66 font 8 and Sample 66 font 10.007
Sample 66 font 8 and Sample 66 font 12.033
Sample 66 font 10 and Sample 66 font 12.055
Sample 144 font 8 and Sample 144 font 10.005
Sample 144 font 8 and Sample 144 font 12.009
Sample 144 font 10 and Sample 144 font 12.656
Sample 161 font 8 and Sample 161 font 10.207
Sample 161 font 8 and Sample 161 font 12.014
Sample 161 font 10 and Sample 161 font 12.391
Table 4.

Results of between group 2 sample Welch t-tests (a=0.05, pcrit=0.05).

Welch 2 Sample t-test Between Groupsp-value
Sample 1 font 8 and Sample 161 font 8.002
Sample 1 font 10 and Sample 161 font 10.025
Sample 1 font 12 and Sample 161 font 12.006
Sample 1 font 8 and Sample 161 font 10<.001
Sample 1 font 8 and Sample 161 font 12<.001
Sample 1 font 10 and Sample 161 font 8.188
Sample 1 font 10 and Sample 161 font 12<.001
Sample 1 font 12 and Sample 161 font 8.111
Sample 1 font 12 and Sample 161 font 10.026
Figure 4.

Strip charts of the population data from phase 3. The strip charts highlight the repeatability of the method based on three replicate measurements. Most of the values are close or overlapped within a sample, with very few samples exhibiting large dispersions. Zero values were also recorded for some samples.

Figure 5.

Histogram of the population distribution with a kernel density estimation added to estimate the probability density function of the collected magnetic flux measurements. This aids in the assessment of the rarity or commonness of the measured features that may be useful for addressing questions about inferences of source.

DOI: https://doi.org/10.69525/jasqde.252 | Journal eISSN: 1524-7287
Language: English
Page range: 45 - 56
Published on: Dec 1, 2018
Published by: American Society of Questioned Document Examiners
In partnership with: Paradigm Publishing Services

© 2018 Carrie Polston, Williams Mazzella, Martin Furbach, Patrick Buzzini, published by American Society of Questioned Document Examiners
This work is licensed under the Creative Commons Attribution 4.0 License.