Comparison of two oral probiotic preparations in a randomized crossover trial highlights a potentially beneficial effect of Lactobacillus paracasei NCC2461 in patients with allergic rhinitis.

BACKGROUND: There is promising but conflicting evidence to recommend the addition of probiotics to foods for prevention and treatment of allergy. Based on previous studies with fermented milk containing Lactobacillus paracasei NCC2461, we aimed to compare the effect of a powder form of the latter probiotic with the effect of a blend of Lactobacillus acidophilus ATCC SD5221 and Bifidobacterium lactis ATCC SD5219 in patients with allergic rhinitis. METHODS: A double-blind, randomized, cross-over study, involving 31 adults with allergic rhinitis to grass pollen, was performed outside the grass pollen season (registration number: NCT01233154). Subjects received each product for 4-weeks in two phases separated by a wash-out period of 6 to 8 weeks. A nasal provocation test was performed before and after each 4-week product intake period, and outcome parameters (objective and subjective clinical symptoms; immune parameters) were measured during and/or 24 hours after the test. RESULTS: Out of the 31 subject enrolled, 28 completed the study. While no effect was observed on nasal congestion (primary outcome), treatment with NCC2461 significantly decreased nasal pruritus (determined by VAS), and leukocytes in nasal fluid samples, enhanced IL-5, IL-13 and IL-10 production by peripheral blood mononuclear cells in an allergen specific manner and tended to decrease IL-5 secretion in nasal fluid, in contrast to treatment with the blend of L. acidophilus and B. lactis. CONCLUSIONS: Despite short-term consumption, NCC2461 was able to reduce subjective nasal pruritus while not affecting nasal congestion in adults suffering from grass pollen allergic rhinitis. The associated decrease in nasal fluid leukocytes and IL-5 secretion, and the enhanced IL-10 secretion in an allergen specific manner may partly explain the decrease in nasal pruritus. However, somewhat unexpected systemic immune changes were also noted. These data support the study of NCC2461 consumption in a seasonal clinical trial to further demonstrate its potentially beneficial effect.

The squeeze cell hypothesis for the activation of jasmonate synthesis in response to wounding

Jasmonates are lipid mediators that control defence gene expression in response to wounding and other environmental stresses. These small molecules can accumulate at distances up to several cm from sites of damage and this is likely to involve cell-to-cell jasmonate transport. Also, and independently of jasmonate synthesis, transport and perception, different long-distance wound signals that stimulate distal jasmonate synthesis are propagated at apparent speeds of several cmmin(-1) to tissues distal to wounds in a mechanism that involves clade 3 GLUTAMATE RECEPTOR-LIKE (GLR) genes. A search for jasmonate synthesis enzymes that might decode these signals revealed LOX6, a lipoxygenase that is necessary for much of the rapid accumulation of jasmonic acid at sites distal to wounds. Intriguingly, the LOX6 promoter is expressed in a distinct niche of cells that are adjacent to mature xylem vessels, a location that would make these contact cells sensitive to the release of xylem water column tension upon wounding. We propose a model in which rapid axial changes in xylem hydrostatic pressure caused by wounding travel through the vasculature and lead to slower, radially dispersed pressure changes that act in a clade 3 GLR-dependent mechanism to promote distal jasmonate synthesis.

Hwyneeds: Methodology, Analysis and Evaluation, March 2001

The quadrennial need study was developed to assist in identifying county highway financial needs (construction, rehabilitation, maintenance, and administration) and in the distribution of the road use tax fund (RUTF) among the counties in the state. During the period since the need study was first conducted using HWYNEEDS software, between 1982 and 1998, there have been large fluctuations in the level of funds distributed to individual counties. A recent study performed by Jim Cable (HR-363, 1993), found that one of the major factors affecting the volatility in the level of fluctuations is the quality of the pavement condition data collected and the accuracy of these data. In 1998, the Center for Transportation Research and Education researchers (Maze and Smadi) completed a project to study the feasibility of using automated pavement condition data collected for the Iowa Pavement Management Program (IPMP) for the paved county roads to be used in the HWYNEEDS software (TR-418). The automated condition data are objective and also more current since they are collected in a two year cycle compared to the 10-year cycle used by HWYNEEDS right now. The study proved the use of the automated condition data in HWYNEEDS would be feasible and beneficial in educing fluctuations when applied to a pilot study area. In another recommendation from TR-418, the researchers recommended a full analysis and investigation of HWYNEEDS methodology and parameters (for more information on the project, please review the TR-418 project report). The study reported in this document builds on the previous study on using the automated condition data in HWYNEEDS and covers the analysis and investigation of the HWYNEEDS computer program methodology and parameters. The underlying hypothesis for this study is thatalong with the IPMP automated condition data, some changes need to be made to HWYNEEDS parameters to accommodate the use of the new data, which will stabilize the process of allocating resources and reduce fluctuations from one quadrennial need study to another. Another objective of this research is to investigate the gravel roads needs and study the feasibility of developing a more objective approach to determining needs on the counties gravel road network. This study identifies new procedures by which the HWYNEEDS computer program is used to conduct the quadrennial needs study on paved roads. Also, a new procedure will be developed to determine gravel roads needs outside of the HWYNEED program. Recommendations are identified for the new procedures and also in terms of making changes to the current quadrennial need study. Future research areas are also identified.

Pretreatment with statins improves early outcome in patients with first-ever ischaemic stroke: a pleiotropic effect of statins or a beneficial effect of hypercholesterolemia?

Background: Data from different studies suggest a favourable association between pretreatment with statins or hypercholesterolemia and outcome after ischaemic stroke. We examined whether there were differences in in-hospital mortality according to the presence or absence of statin therapy in a large population of first-ever ischaemic stroke patients and assessed the influence of statins upon early death and spontaneous neurological recovery. Methods: In 2,082 consecutive patients with first-ever ischaemic stroke collected from a prospective hospital-based stroke registry during a period of 19 years (1986-2004), statin use or hypercholesterolemia before stroke was documented in 381 patients. On the other hand, favourable outcome defined as grades 0-2 in the modified Rankin scale was recorded in 382 patients. Results: Early outcome was better in the presence of statin therapy or hypercholesterolemia (cholesterol levels were not measured) with significant differences between the groups with and without pretreatment with statins in in-hospital mortality (6% vs 13.3%, P = 0.001) and symptom-free (22% vs 17.5%, P = 0.025) and severe functional limitation (6.6% vs 11.5%, P = 0.002) at hospital discharge, as well as lower rates of infectious respiratory complications during hospitalization. In the logistic regression model, statin therapy was the only variable inversely associated with in-hospital death (odds ratio 0.57) and directly associated with favourable outcome (odds ratio 1.32).

Oligoanalgesia in the emergency department: short-term beneficial effects of an education program on acute pain.

STUDY OBJECTIVE: Acute pain is the most frequent complaint in emergency department (ED) admissions, but its management is often neglected, placing patients at risk of oligoanalgesia. We evaluate the effect of the implementation of guidelines for pain management in ED patients with pain at admission or anytime during their stay in our ED. METHODS: This prospective pre-post intervention cohort study included data collection both before and after guideline implementation. Consecutive adult patients admitted with acute pain from any cause or with pain at any time after admission were enrolled. The quality of pain management was evaluated according to information in the ED medical records by using a standardized collection form, and its impact on patients was recorded with a questionnaire at discharge. RESULTS: Two hundred forty-nine and 192 patients were included during pre- and postintervention periods. Pain was documented in 61% and 76% of nurse and physician notes, respectively, versus 78% and 85% after the intervention (difference 17%/9%; 95% confidence interval [CI] 8% to 26%/2% to 17%, respectively). Administration of analgesia increased from 40% to 63% (difference 23%; 95% CI 13% to 32%) and of morphine from 10% to 27% (difference 17%; 95% CI 10% to 24%). Mean doses of intravenous morphine increased from 2.4 mg (95% CI 1.9 to 2.9 mg) to 4.6 mg (95% CI 3.9 to 5.3 mg); administration of nonsteroidal antiinflammatory drugs and acetaminophen increased as well. There was a greater reduction of visual analogue scale score after intervention: 2.1 cm (95% CI 1.7 to 2.4 cm) versus 2.9 cm (95% CI 2.5 to 3.3 cm), which was associated with improved patient satisfaction. CONCLUSION: Education program and guidelines implementation for pain management lead to improved pain management, analgesia, and patient satisfaction in the ED.

Beneficial effect of insulin-like growth factor-1 on hypoxemic renal dysfunction in the newborn rabbit.

Acute normocapnic hypoxemia can cause functional renal insufficiency by increasing renal vascular resistance (RVR), leading to renal hypoperfusion and decreased glomerular filtration rate (GFR). Insulin-like growth factor 1 (IGF-1) activity is low in fetuses and newborns and further decreases during hypoxia. IGF-1 administration to humans and adult animals induces pre- and postglomerular vasodilation, thereby increasing GFR and renal blood flow (RBF). A potential protective effect of IGF-1 on renal function was evaluated in newborn rabbits with hypoxemia-induced renal insufficiency. Renal function and hemodynamic parameters were assessed in 17 anesthetized and mechanically ventilated newborn rabbits. After hypoxemia stabilization, saline solution (time control) or IGF-1 (1 mg/kg) was given as an intravenous (i.v.) bolus, and renal function was determined for six 30-min periods. Normocapnic hypoxemia significantly increased RVR (+16%), leading to decreased GFR (-14%), RBF (-19%) and diuresis (-12%), with an increased filtration fraction (FF). Saline solution resulted in a worsening of parameters affected by hypoxemia. Contrarily, although mean blood pressure decreased slightly but significantly, IGF-1 prevented a further increase in RVR, with subsequent improvement of GFR, RBF and diuresis. FF indicated relative postglomerular vasodilation. Although hypoxemia-induced acute renal failure was not completely prevented, IGF-1 elicited efferent vasodilation, thereby precluding a further decline in renal function.

METABOLIC EFFECTS OF DIETARY PROTEINS

SUMMARY :Non-alcoholic fatty liver disease (NAFLD) is characterized by an elevated intra- hepatocellular lipid (IHCL) concentration (> 5%). The incidence of NAFLD is frequently increased in obese patients, and is considered to be the hepatic component of the metabolic syndrome. The metabolic syndrome, also characterized by visceral obesity, altered glucose homeostasis, insulin resistance, dyslipidemia, and high blood pressure, represents actually a major public health burden. Both dietary factors and low physical activity are involved in the development of the metabolic syndrome. ln animals and healthy humans, high-fat or high-fructose diets lead to the development of several features of the metabolic syndrome including increased intrahepatic lipids and insulin resistance. ln contrast the effects of dietary protein are less well known, but an increase in protein intake has been suggested to exert beneficial effects by promoting weight loss and improving glucose homeostasis in insulin-resistant patients. Increased postprandial thermogenesis and enhanced satiety after protein ingestion may be both involved. The effects of dietary protein on hepatic lipids have been poorly investigated in humans, but preliminary studies in rodents have shown a reduction of hepatic lipids in carbohydrate fed rats and in obese rats. ln this context this work aimed at investigating the metabolic effects of dietary protein intake on hepatic lipid metabolism and glucose homeostasis in humans. The modulation by dietary proteins of exogenous lipid oxidation, net lipid oxidation, hepatic beta-oxidation, triglycerides concentrations, whole-body energy expenditure and glucose tolerance was assessed in the fasting state and in postprandial states. Measurements of IHCL were performed to quantify the amount of triglycerides in the liver. ln an attempt to cover all these metabolic aspects under different point of views, these questions were addressed by three protocols involving various feeding conditions. Study I addressed the effects of a 4-day hypercaloric high-fat high-protein diet on the accumulation of fat in the liver (IHCL) and on insulin sensitivity. Our findings indicated that a high protein intake significantly prevents intrahepatic fat deposition induced by a short- term hypercaloric high-fat diet, adverse effects of which are presumably modulated at the liver level.These encouraging results led us to conduct the second study (Study ll), as we were also interested in a more clinical approach to protein administration and especially if increased protein intakes might be of benefit for obese patients. Therefore the effects of one-month whey protein supplementation on IHCL, insulin sensitivity, lipid metabolism, glucose tolerance and renal function were assessed in obese women. Results showed that whey protein supplementation reduces hepatic steatosis and improves the plasma lipid profile in obese patients, without adverse effects on glucose tolerance or creatinine clearance. However since patients were fed ud-libitum, it remains possible that spontaneous carbohydrate and fat intakes were reduced due to the satiating effects of protein. The third study (Study lll) was designed in an attempt to deepen our comprehension about the mechanisms involved in the modulation of IHCL. We hypothesized that protein improved lipid metabolism and, therefore, we evaluated the effects of a high protein meal on postprandial lipid metabolism and glucose homeostasis after 4-day on a control or a protein diet. Our results did not sustain the hypothesis of an increased postprandial net lipid oxidation, hepatic beta oxidation and exogenous lipid oxidation. Four days on a high-protein diet rather decreased exogenous fat oxidation and enhanced postprandial triglyceride concentrations, by impairing probably chylomicron-TG clearance. Altogether the results of these three studies suggest a beneficial effect of protein intake on the reduction in lHCL, and clearly show that supplementation of proteins do not reduce IHCL by stimulating lipid metabolism, e.g. whole body fat oxidation, hepatic beta oxidation, or exogenous fat oxidation. The question of the effects of high-protein intakes on hepatic lipid metabolism is still open and will need further investigation to be elucidated. The effects of protein on increased postprandial lipemia and lipoproteins kinetics have been little investigated so far and might therefore be an interesting research question, considering the tight relationship between an elevation of plasmatic TG concentrations and the increased incidence of cardiovascular diseases.Résumé :La stéatose hépatique non alcoolique se caractérise par un taux de lipides intra-hépatiques élevé, supérieur à 5%. L'incidence de la stéatose hépatique est fortement augmentée chez les personnes obèses, ce qui mène à la définir comme étant la composante hépatique du syndrome métabolique. Ce syndrome se définit aussi par d'autres critères tels qu'obésité viscérale, altération de l'homéostasie du glucose, résistance à l'insuline, dyslipidémie et pression artérielle élevée. Le syndrome métabolique est actuellement un problème de santé publique majeur.Tant une alimentation trop riche et déséquilibrée, qu'une faible activité physique, semblent être des causes pouvant expliquer le développement de ce syndrome. Chez l'animal et le volontaire sain, des alimentations enrichies en graisses ou en sucres (fructose) favorisent le développement de facteurs associés au syndrome métabolique, notamment en augmentant le taux de lipides intra-hépatiques et en induisant le développement d'une résistance à l'insuline. Par ailleurs, les effets des protéines alimentaires sont nettement moins bien connus, mais il semblerait qu'une augmentation de l'apport en protéines soit bénéfique, favorisant la perte de poids et l'homéostasie du glucose chez des patients insulino-résistants. Une augmentation de la thermogenese postprandiale ainsi que du sentiment de satiété pourraient en être à l'origine.Les effets des protéines sur les lipides intra-hépatiques chez l'homme demeurent inconnus à ce jour, cependant des études préliminaires chez les rongeurs tendent à démontrer une diminution des lipides intra hépatiques chez des rats nourris avec une alimentation riche en sucres ou chez des rats obèses.Dans un tel contexte de recherche, ce travail s'est intéressé à l'étude des effets métaboliques des protéines alimentaires sur le métabolisme lipidique du foie et sur l'homéostasie du glucose. Ce travail propose d'évaluer l'effet des protéines alimentaires sur différentes voies métaboliques impliquant graisses et sucres, en ciblant d'une part les voies de l'oxydation des graisses exogènes, de la beta-oxydation hépatique et de l'oxydation nette des lipides, et d'autre part la dépense énergétique globale et l'évolution des concentrations sanguines des triglycérides, à jeun et en régime postprandial. Des mesures des lipides intra-hépatiques ont aussi été effectuées pour permettre la quantification des graisses déposées dans le foie.Dans le but de couvrir l'ensemble de ces aspects métaboliques sous différents angles de recherche, trois protocoles, impliquant des conditions alimentaires différentes, ont été entrepris pour tenter de répondre à ces questions. La première étude (Etude I) s'est intéressée aux effets d'u.ne suralimentation de 4 jours enrichie en graisses et protéines sur la sensibilité à l'insuline et sur l'accumulation de graisses intra-hépatiques. Les résultats ont démontré que l'apport en protéines prévient l'accumulation de graisses intra-hépatiques induite par une suralimentation riche en graisses de courte durée ainsi que ses effets délétères probablement par le biais de mécanismes agissant au niveau du foie. Ces résultats encourageants nous ont conduits à entreprendre une seconde étude (Etude ll) qui s'intéressait à l'implication clinique et aux bénéfices que pouvait avoir une supplémentation en protéines sur les graisses hépatiques de patients obèses. Ainsi nous avons évalué pendant un mois de supplémentation l'effet de protéines de lactosérum sur le taux de graisses intrahépatiques, la sensibilité à l'insuline, la tolérance au glucose, le métabolisme des graisses et la fonction rénale chez des femmes obèses. Les résultats ont été encourageants; la supplémentation en lactosérum améliore la stéatose hépatique, le profil lipidique des patientes obèses sans pour autant altérer la tolérance au glucose ou la clairance de la créatinine. L'effet satiétogene des protéines pourrait aussi avoir contribué à renforcer ces effets. La troisième étude s'est intéressée aux mécanismes qui sous-tendent les effets bénéfiques des protéines observés dans les 2 études précédentes. Nous avons supposé que les protéines devaient favoriser le métabolisme des graisses. Par conséquent, nous avons cherché a évaluer les effets d'un repas riche en protéines sur la lipémie postprandiale et l'homéostasie glucidique après 4 jours d'alimentation contrôlée soit isocalorique et équilibrée, soit hypercalorique enrichie en protéines. Les résultats obtenus n'ont pas vérifié l'hypothèse initiale ; ni une augmentation de l'oxydation nette des lipides, ni celle d'une augmentation de la béta-oxydation hépatique ou de l'oxydation d'un apport exogène de graisses n'a pu étre observée. A contrario, il semblerait même plutôt que 4 jours d'a]irnentation hyperprotéinée inhibent le métabolisme des graisses et augmente les concentrations sanguines de triglycérides, probablement par le biais d'une clairance de chylornicrons altérée. Globalement, les résultats de ces trois études nous permettent d'attester que les protéines exercent un effet bénéfique en prévenant le dépot de graisses intra-hépatiques et montrent que cet effet ne peut être attribué à une stimulation du métabolisme des lipides via l'augmentation des oxydations des graisses soit totales, hépatiques, ou exogènes. La question demeure en suspens à ce jour et nécessite de diriger la recherche vers d'autres voies d'exploration. Les effets des protéines sur la lipémie postprandiale et sur le cinétique des lipoprotéines n'a que peu été traitée à ce jour. Cette question me paraît néanmoins importante, sachant que des concentrations sanguines élevées de triglycérides sont étroitement corrélées à une incidence augmentée de facteurs de risque cardiovasculaire.

P value and the theory of hypothesis testing: an explanation for new researchers.

In the 1920s, Ronald Fisher developed the theory behind the p value and Jerzy Neyman and Egon Pearson developed the theory of hypothesis testing. These distinct theories have provided researchers important quantitative tools to confirm or refute their hypotheses. The p value is the probability to obtain an effect equal to or more extreme than the one observed presuming the null hypothesis of no effect is true; it gives researchers a measure of the strength of evidence against the null hypothesis. As commonly used, investigators will select a threshold p value below which they will reject the null hypothesis. The theory of hypothesis testing allows researchers to reject a null hypothesis in favor of an alternative hypothesis of some effect. As commonly used, investigators choose Type I error (rejecting the null hypothesis when it is true) and Type II error (accepting the null hypothesis when it is false) levels and determine some critical region. If the test statistic falls into that critical region, the null hypothesis is rejected in favor of the alternative hypothesis. Despite similarities between the two, the p value and the theory of hypothesis testing are different theories that often are misunderstood and confused, leading researchers to improper conclusions. Perhaps the most common misconception is to consider the p value as the probability that the null hypothesis is true rather than the probability of obtaining the difference observed, or one that is more extreme, considering the null is true. Another concern is the risk that an important proportion of statistically significant results are falsely significant. Researchers should have a minimum understanding of these two theories so that they are better able to plan, conduct, interpret, and report scientific experiments.

Manipulating sex ratio to increase population growth: the example of the Lesser Kestrel

Small or decreasing populations call for emergency actions like, for example, captive breeding programs. Such programs aim at rapidly increasing population sizes in order to reduce the loss of genetic variability and to avoid possible Allee effects. The Lesser Kestrel Falco naumanni is one of the species that is currently supported in several captive breeding programs at various locations. Here, we model the demographic and genetic consequences of potential management strategies that are based on offspring sex ratio manipulation. Increased population growth could be achieved by manipulating female conditions and/or male attractiveness in the captive breeders and consequently shifting the offspring sex ratio towards more female offspring, which are then used for reintroduction. Fragmenting populations into wild-breeding and captive-breeding demes and manipulating population sex ratio both immediately increase the inbreeding coefficient in the next generation (i.e. decrease N-e) but may, in the long term, reduce the loss of genetic variability if population growth is restricted by the number of females. We use the Lesser Kestrel and the wealth of information that is available on this species to predict the long-term consequences of various kinds of sex-ratio manipulation. We find that, in our example and possibly in many other cases, a sex-ratio manipulation that seems realistic could have a beneficial effect on the captive breeding program. However, the possible long-term costs and benefits of such measures need to be carefully optimized.

Beneficial Effects of Selected Additives on Asphalt Cement Mixes, HR-278, 1987

Effects of polyolefins, neoprene, styrene-butadiene-styrene (SBS) block copolymers, styrene-butadiene rubber (SBR) latex, and hydrated lime on two asphalt cements were evaluated. Physical and chemical tests were performed on a total of 16 binder blends. Asphalt concrete mixes were prepared and tested with these modified binders and two aggregates (crushed limestone and gravel), each at three asphalt content levels. Properties evaluated on the modified binders (original and thin-film oven aged) included: viscosity at 25 deg C, 60 deg C and 135 deg C with capillary tube and cone-plate viscometer, penetration at 5 deg C and 25 deg C, softening point, force ductility, and elastic recovery at 10 deg C, dropping ball test, tensile strength, and toughness and tenacity tests at 25 deg C. From these the penetration index, the viscosity-temperature susceptibility, the penetration-viscosity number, the critical low-temperature, long loading-time stiffness, and the cracking temperature were calculated. In addition, the binders were studied with x-ray diffraction, reflected fluorescence microscopy, and high-performance liquid chromatography techniques. Engineering properties evaluated on the 72 asphalt concrete mixes containing additives included: Marshall stability and flow, Marshall stiffness, voids properties, resilient modulus, indirect tensile strength, permanent deformation (creep), and effects of moisture by vacuum-saturation and Lottman treatments. Pavement sections of varied asphalt concrete thicknesses and containing different additives were compared to control mixes in terms of structural responses and pavement lives for different subgrades. Although all of the additives tested improved at least one aspect of the binder/mixture properties, no additive was found to improve all the relevant binder/mixture properties at the same time. On the basis of overall considerations, the optimum beneficial effects can be expected when the additives are used in conjunction with softer grade asphalts.

Peroxisome Proliferator-Activated Receptor beta/delta in the Brain: Facts and Hypothesis.

peroxisome proliferator-activated receptors (PPARs) are nuclear receptors acting as lipid sensors. Besides its metabolic activity in peripheral organs, the PPAR beta/delta isotype is highly expressed in the brain and its deletion in mice induces a brain developmental defect. Nevertheless, exploration of PPARbeta action in the central nervous system remains sketchy. The lipid content alteration observed in PPARbeta null brains and the positive action of PPARbeta agonists on oligodendrocyte differentiation, a process characterized by lipid accumulation, suggest that PPARbeta acts on the fatty acids and/or cholesterol metabolisms in the brain. PPARbeta could also regulate central inflammation and antioxidant mechanisms in the damaged brain. Even if not fully understood, the neuroprotective effect of PPARbeta agonists highlights their potential benefit to treat various acute or chronic neurological disorders. In this perspective, we need to better understand the basic function of PPARbeta in the brain. This review proposes different leads for future researches.

Lag-one autocorrelation in short series: Estimation and hypothesis testing

In the first part of the study, nine estimators of the first-order autoregressive parameter are reviewed and a new estimator is proposed. The relationships and discrepancies between the estimators are discussed in order to achieve a clear differentiation. In the second part of the study, the precision in the estimation of autocorrelation is studied. The performance of the ten lag-one autocorrelation estimators is compared in terms of Mean Square Error (combining bias and variance) using data series generated by Monte Carlo simulation. The results show that there is not a single optimal estimator for all conditions, suggesting that the estimator ought to be chosen according to sample size and to the information available of the possible direction of the serial dependence. Additionally, the probability of labelling an actually existing autocorrelation as statistically significant is explored using Monte Carlo sampling. The power estimates obtained are quite similar among the tests associated with the different estimators. These estimates evidence the small probability of detecting autocorrelation in series with less than 20 measurement times.