When the value of a quantity for a number of systems (cells, molecules, people, chunks of metal, DNA vectors, so on) is measured and the aim is to replicate the whole set again for different trials or assays, despite the efforts for a near-equal design, scientists might often obtain quite different measurements. As a consequence, some systems’ averages present standard deviations that are too large to render statistically significant results. This work presents a novel correction method of a very low mathematical and numerical complexity that can reduce the standard deviation of such results and increase their statistical significance. Two conditions are to be met: the inter-system variations of matter while its absolute value does not, and a similar tendency in the values of must be present in the different assays (or in other words, the results corresponding to different assays must present a high linear correlation). We demonstrate the improvements this method offers with a cell biology experiment, but it can definitely be applied to any problem that conforms to the described structure and requirements and in any quantitative scientific field that deals with data subject to uncertainty.
References
[1]
Galante RS, Taranto AG, Koblitz MGB, Góes-Neto A, Pirovani CP, et al. (2012) Purification, characterization and structural determination of chitinases produced by Moniliophthora perniciosa. An Acad Bras Cien 84: 469–486.
[2]
Xu X, Shi YC, Wu X, Gambetti P, Sui D, et al. (1999) Identification of a novel PSD-95/Dlg/ZO-1 (PDZ)-like protein interacting with the C terminus of Presenilin-1. J Biol Chem 274: 32543–32546.
[3]
Lamarca V, Marzo I, Sanz-Clemente A, Carrodeguas JA (2008) Exposure of any of two proapoptotic domains of presenilin 1-associated protein/mitochondrial carrier homolog 1 on the surface of mitochondria is sufficient for induction of apoptosis in a Bax/Bak-independent manner. Eur J Cell Biol 87: 325–334.
[4]
Lamarca V, Sanz-Clemente A, Pérez-Pé R, Martínez-Lorenzo MJ, Halaihel N, et al. (2007) Two isoforms of PSAP/MTCH1 share two proapoptotic domains and multiple internal signals for import into the mitochondrial outer membrane. Am J Physiol Cell Physiol 293: C1347–C1361.
[5]
Li T, Zeng L, Gao W, Cui MZ, Fu X, et al. (2013) PSAP induces a unique Apaf-1 and Smacdependent mitochondrial apoptotic pathway independent of Bcl-2 family proteins. Biochim Biophys Acta 1832: 453–474.
[6]
Mao G, Tan J, Gao W, Shi Y, Cui MZ, et al. (2008) Both the N-terminal fragment and the protein-protein interaction domain (PDZ domain) are required for the pro-apoptotic activity of presenilin-associated protein PSAP. Biochim Biophys Acta 1780: 696–708.
[7]
Xu X, Shi YC, Gao W, Mao G, Zhao G, et al. (2002) The novel presenilin-1-associated protein is a proapoptotic mitochondrial protein. J Biol Chem 277: 48913–48922.
[8]
Daniel WW (2009) Biostatistics: A foundation for analysis in the health sciences. John Wiley & Sons, 9th edition.
[9]
Le CT (2003) Introductory biostatistics. John Wiley & Sons.
[10]
Pignatelli M, Luna-Medina R, Pérez-Rendón A, Santos A, Perez-Castillo A (2003) The transcription factor early growth response factor-1 (EGR-1) promotes apoptosis of neuroblastoma cells. Biochem J 373: 739–746.
[11]
Kirkup L, Frenkel RB (2006) An introduction to uncertainty in measurement using the GUM. Cambridge University Press.
[12]
Alonso JL, Echenique P (2006) A physically meaningful method for the comparison of potential energy functions. J Comput Chem 27: 238–252.
[13]
Schagat T, Paguio A, Kopish K, Promega Corporation (2007) Normalizing genetic reporter assays: Approaches and considerations for increasing consistency and statistical significance. Cell Notes 17: 9–12.
[14]
Ysebrant de Lendonck L, Eddahri F, Delmarcelle Y, Nguyen M, Leo O, et al. (2013) STAT3 signaling induces the differentiation of human ICOS+ CD4 T cells helping B lymphocytes. PLoS ONE 8: e71029.
[15]
Matsunoshita Y, Ijiri K, Ishidou Y, Nagano S, Yamamoto T, et al. (2011) Suppression of osteosarcoma cell invasion by chemotherapy is mediated by urokinase plasminogen activator activity via up-regulation of EGR1. PLoS ONE 6: e16234.
[16]
Alvarez A, del Valle Loto F (2012) Characterization and biological activity of Bacillus thuringiensis isolates that are potentially useful in insect pest control. In: Lameed A, editor, Biodiversity Enrichment in a Diverse World, InTech.
[17]
Zhang W, Dourado DFAR, Fernandes PA, Ramos MJ, Mannervik B (2012) Multidimensional epistasis and fitness landscapes in enzyme evolution. Biochem J 445: 39–46.
[18]
Vittinghoff E, Glidden DV, Shiboski SC, Mcculloch CE (2005) Regression methods in biostatistics: Linear, logistic, survival, and repeated measures models. Springer.
[19]
Walpole RE, Myers RH, Myers SL, Ye K (2012) Probabilty & statistics for engineers & scientists. Prentice Hall.
[20]
Kutner MH, Nachtsheim CJ, Neter J, Li W (2005) Applied linear statistical models. McGraw Hill, 5th edition.
[21]
Mickey RM, Dunn OJ, Clark VA (2004) Applied statistics: Analysis of variance and regression. Wiley, 3rd edition.
[22]
Taylor JR (1997) An introduction to error analysis: The study of uncertainties in physical measurements. University Science Books.
[23]
Mandel J (1984) The statistical analysis of experimental data. Dover Publications.
[24]
Cnaan A, Laird NM, Slasor P (1997) Tutorial in biostatistics: Using the general linear mixed model to analyse unbalanced repeated measures and longitudinal data. Stat Med 16: 2349–2380.
[25]
Konovalov IB, Beekmann M, Kuznetsova IN, Glazkova AA, Vasil’eva AV, et al. (2011) Estimation of the inuence that natural fires have on air pollution in the region of Moscow megalopolis based on the combined use of chemical transport model and measurement data. Izvestiya, Atmos Ocean Phys 47: 457–467.
[26]
Niedostatkiewicz M, Zielonko R (2006) Time domain parameter identification of anticorrosion coating via some types of polynomial signals. In: XVIII IMEKO World Congress.
[27]
Glenday AG, Phillips DF, Webber M, Li CH, Furesz G, et al.. (2012) High-resolution Fourier transform spectrograph for characterization of echelle spectrograph wavelength calibrators. In: McLean IS, Ramsay SK, Takami H, editors, Ground-based and Airborne Instrumentation for Astronomy IV. volume 8446.
[28]
Johansson S, Zilio V, Pickering JC, Thorne AP, Murray JE, et al. (2000) Accurate laboratory wavelengths of some ultraviolet lines of Cr, Zn and Ni relevant to time variations of the fine structure constant. Mon Not R Astron Soc 319: 163–167.
[29]
Meloun M, Militky J, Forina M (1993) Chemometrics for analytical chemistry. Volume 1: PC-aided statistical data analysis. Ellis Horwood.
[30]
Doerffel K (1994) Assuring trueness of analytical results. Fresenius J Anal Chem 348: 183–187.
[31]
Gundersen S, Strand TG, Volden HV (1998) Gas electron diffraction data: A representation of improved resolution in the frequency domain, a background correction for multiplicative and additive errors, and the effect of increased exposure of the photographic plates. J Mol Struct 445: 35–45.