The classical Herglotz theorem states that a sequence (ak) ∞ k=−∞ of complex numbers is the sequence of the Fourier-Stieltjes coefficients of a non-decreasing function g defined on the interval 〈0, 2π〉 if and only if the sequence (ak)k=−∞ is positive definite. Recall that ak = ∫ 2π 0 e dg(t) is said to be the kth FourierStieltjes coefficient of a function g (with bounded variation defined on th...

We analyse the behaviour of Incremental Model-Based Clustering on child-directed speech data, and suggest a possible use of this method to describe the acquisition of phonetic classes by an infant. The effects of two factors are analysed, namely the number of coefficients describing the speech signal, and the frame length of the incremental clustering procedure. The results show that, although ...

This thesis examines and develops statistical methods for design and analysis with applications in immunoassay and other analytical techniques. In immunoassay, concentrations of components in clinical samples are measured using antibodies. The responses obtained are related to the concentrations in the samples. The relationship between response and concentration is established by fitting a cali...

The coefficient of variation is a dispersion measurement that does not depend on the unit scales, thus allowing the comparison of experimental results involving different variables. Its calculation is crucial for the adhesive experiments performed in laboratories because both precision and reliability can be verified. The aim of this study was to evaluate and to suggest a classification of the ...

Figure 1. Map of the 2001 sample sites. Figure 2. Species richness at the south and east-central Sound sites over 3 years. Figure 3. Cumulative species-richness curves for 3 years at each of the sites sampled in 2001. Figure 4. Species-area curves for each area sampled in 1999 and 2001. Figure 5. Species richness at all sites sampled in 2001. Figure 6. Percentage of the number of taxa that show...

AIMS The coefficient of variation is a popular measure for describing the amount of repeat variability present in ECG measurements from recording to recording. However, it can be misleading. The aim of the present study was to assess repeat variation (reclassification) in computer measured ECG criteria, i.e. positive to negative or vice versa, and compare this with the coefficient of variabilit...

Background MRI is the only non-invasive modality capable of quantifying diffuse cardiac fibrosis using late gadolinium enhanced (LGE) cardiac T1 mapping. This pulse sequence measures LGE cardiac T1, which directly correlates with the amount of extracellular contrast agent occupying the expanded extracellular matrix containing the interstitial fibrosis, and obviates the need for a reference norm...

Terms such as isochrony, syllable segregation, scanning speech and staccato-like rhythmic quality have been used to characterize the temporal regularity that may be a core feature of apraxia of speech. The present report describes a procedure to quantify temporal regularity in children with suspected apraxia of speech (sAOS). Conversational speech samples from 15 such children, together with sa...

It is contentious whether size variation among mammalian teeth is heterogeneous or homogeneous, whether the coefficient of variation is reliable, and whether the standard deviation of log-transformed data and the residual of standard deviation on mean variable size are useful replacements for the coefficient of variation. Most studies of tooth size variation have been on mammals with complex-cr...

BACKGROUND PERIODIC OR CYCLIC DATA OF KNOWN PERIODICITY ARE FREQUENTLY ENCOUNTERED IN EPIDEMIOLOGICAL AND BIOMEDICAL RESEARCH: for instance, seasonality provides a useful experiment of nature while diurnal rhythms play an important role in endocrine secretion. There is, however, little consensus on how to analysis these data and less still on how to measure association or effect size for the of...