<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0120-0534</journal-id>
<journal-title><![CDATA[Revista Latinoamericana de Psicología]]></journal-title>
<abbrev-journal-title><![CDATA[rev.latinoam.psicol.]]></abbrev-journal-title>
<issn>0120-0534</issn>
<publisher>
<publisher-name><![CDATA[Fundación Universitaria Konrad Lorenz]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-05342009000200002</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[EFFECT OF SAMPLING FREQUENCY ON AUTOMATICALLY-GENERATED ACTIVITY AND FREEZING SCORES IN A PAVLOVIAN FEAR-CONDITIONING PREPARATION]]></article-title>
<article-title xml:lang="es"><![CDATA[EFECTO DE LA FRECUENCIA DE MUESTREO SOBRE LOS ÍNDICES AUTOMÁTICOS DE ACTIVIDAD Y CONGELAMIENTO EN UN PROCEDIMIENTO DE CONDICIONAMIENTO PAVLOVIANO DEL MIEDO]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Vargas-Irwin]]></surname>
<given-names><![CDATA[Cristina]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Robles]]></surname>
<given-names><![CDATA[Jaime R.]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
</contrib-group>
<aff id="A02">
<institution><![CDATA[,Universidad Católica Andrés Bello  ]]></institution>
<addr-line><![CDATA[Caracas ]]></addr-line>
<country>Venezuela</country>
</aff>
<aff id="A01">
<institution><![CDATA[,Fundación Universitaria Konrad Lorenz  ]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>13</day>
<month>08</month>
<year>2009</year>
</pub-date>
<pub-date pub-type="epub">
<day>13</day>
<month>08</month>
<year>2009</year>
</pub-date>
<volume>41</volume>
<numero>2</numero>
<fpage>187</fpage>
<lpage>195</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-05342009000200002&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-05342009000200002&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-05342009000200002&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Conditioned freezing has long held conceptual importance in behavior analysis, being pivotal in the explanation of anxiety-like behavior. Although initially measured indirectly, through its disruptive effect on operant behavior (conditioned suppression), and later by direct observation, automated techniques of measuring movement have recently become available, which also enable the measurement of conditioned freezing. These video processing techniques allow for the direct and virtually continuous measurement of activity, as compared to the traditional interval sampling approach of direct observation. We examined whether automatically generated freezing and movement scores were equally sensitive to traditional Pavlovian conditioning manipulations, and how this sensitivity was affected by the sampling frequency of the data. Extinction data for 42 mice were collected at a rate of 30 Hz, transformed via re-sampling and analyzed by a generalized linear model to determine the effect size for the presence of the conditioned stimulus for each individual time series under four conditions: high and low resolution raw activity scores and high and low resolution dichotomous freezing scores.The resolution of the data proved to be the most important dimension in estimating local changes in the level of the individual time-series, with activity and freezing scores presenting comparable effect sizes. In contrast with the above, only high-resolution activity measurements proved to be effective in detecting local changes in trends.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[La respuesta condicionada de congelamiento tiene importancia conceptual de larga data para el Análisis Conductual, siendo clave en la explicación de las conductas de ansiedad. Aún cuando inicialmente fue medida de forma indirecta, mediante sus efectos sobre la conducta operante (como en el arreglo de supresión condicionada) y más tarde mediante la observación directa, recientemente se han hecho disponibles alternativas para la medición automática del movimiento que permiten también la medición del congelamiento condicionado. Estas nuevas técnicas de video permiten la medición directa y virtualmente constante de la actividad del organismo, por contraposición a las técnicas tradicionales de muestreo de tiempo características del registro observacional. En el presente artículo se compara el efecto de manipulaciones pavlovianas tradicionales sobre la sensibilidad de los de los índices automatizados de congelamiento y actividad, así como el posible efecto de la densidad de muestreo sobre dicha sensibilidad. Para ello se analizan datos provenientes de sesiones de extinción pavloviana de 42 ratones, recogidos con una frecuencia 30 Hz y transformados mediante una técnica de remuestreo, para luego ser analizado mediante un modelo lineal generalizado, a fin de determinar la magnitud del efecto de la presencia del estímulo condicionado en cada una de cuatro condiciones: puntajes brutos de actividad de alta y baja resolución y puntajes dicotómicos de congelamiento de alta y baja resolución. La resolución de los datos mostró ser la dimensión más relevante para la estimación de cambios locales de nivel en las series temporales individuales, siendo dichos cambios igualmente fáciles de detectar en los índices de congelamiento y de actividad. A diferencia de lo anterior, sólo las medidas de actividad de alta resolución permitieron la detección de cambios locales de tendencia.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[indexes]]></kwd>
<kwd lng="en"><![CDATA[fear conditioning]]></kwd>
<kwd lng="en"><![CDATA[freezing]]></kwd>
<kwd lng="en"><![CDATA[generalized linear models]]></kwd>
<kwd lng="en"><![CDATA[time series]]></kwd>
<kwd lng="es"><![CDATA[ejecución motora]]></kwd>
<kwd lng="es"><![CDATA[índices de movimiento]]></kwd>
<kwd lng="es"><![CDATA[condicionamiento aversivo]]></kwd>
<kwd lng="es"><![CDATA[congelamiento]]></kwd>
<kwd lng="es"><![CDATA[modelos lineales generalizados]]></kwd>
<kwd lng="es"><![CDATA[series temporales]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  <font size="2" face="verdana">     <p align="center"><font size="4"><b>EFFECT OF  SAMPLING FREQUENCY ON AUTOMATICALLY-GENERATED ACTIVITY AND FREEZING SCORES IN A  PAVLOVIAN FEAR-CONDITIONING PREPARATION</b></font></p>     <p align="center"><font size="3"><b>EFECTO DE LA FRECUENCIA DE MUESTREO SOBRE LOS &Iacute;NDICES AUTOM&Aacute;TICOS DE ACTIVIDAD Y CONGELAMIENTO EN UN PROCEDIMIENTO DE CONDICIONAMIENTO PAVLOVIANO DEL MIEDO.</b></font></p>     <p><b>Cristina  Vargas-Irwin    <br></b>Fundaci&oacute;n  Universitaria Konrad Lorenz, Bogot&aacute;, Colombia</p>     <p><b>Jaime  R. Robles    <br></b>Universidad  Cat&oacute;lica Andr&eacute;s Bello, Caracas, Venezuela</p>     <p>Correspondencia: Cristina  Vargas-Irwin <a href="mailto:cvargas@fukl.edu">cvargas@fukl.edu</a> Fundaci&oacute;n Universitaria Konrad Lorenz. Carrera  9Âª bis No. 62-43. Bogot&aacute;,  Colombia    <br>Acknowledgements: This research was supported by a grant from the A.D.  Williams foundation to the first autho</p> <hr size="1">     <p><b>Abstract</b></p> </font>     ]]></body>
<body><![CDATA[<p><font size="2" face="verdana">Conditioned freezing has long held conceptual importance in behavior analysis,  being pivotal in the explanation of anxiety-like behavior. Although initially  measured indirectly, through its disruptive effect on operant behavior (conditioned  suppression), and later by direct observation, automated techniques of  measuring movement have recently become available, which also enable the measurement  of conditioned freezing. These video processing techniques allow for the direct  and virtually continuous measurement of activity, as compared to the traditional  interval sampling approach of direct observation. We examined whether  automatically generated freezing and movement scores were equally sensitive to  traditional Pavlovian conditioning manipulations, and how this sensitivity was  affected by the sampling frequency of the data. Extinction data for 42 mice  were collected at a rate of 30 Hz, transformed via re-sampling and analyzed by  a generalized linear model to determine the effect size for the presence of the  conditioned stimulus for each individual time series under four conditions:  high and low resolution raw activity scores and high and low resolution  dichotomous freezing scores.The resolution of the data proved to be the most important  dimension in estimating local changes in the level of the individual  time-series, with activity and freezing scores presenting comparable effect  sizes. In contrast with the above, only high-resolution activity measurements proved  to be effective in detecting local changes in trends.</font></p>     <p><font size="2" face="verdana"><b><i>Key words:</i></b><i> indexes, fear conditioning, freezing, generalized linear  models, time series</i></font>.</p> <font size="2" face="verdana"> <hr size="1">     <p><b>Resumen</b></p> </font>     <p><font size="2" face="verdana">La respuesta condicionada de  congelamiento tiene importancia conceptual de larga data para el An&aacute;lisis  Conductual, siendo clave en la explicaci&oacute;n de las conductas de ansiedad. A&uacute;n  cuando inicialmente fue medida de forma indirecta, mediante sus efectos sobre  la conducta operante (como en el arreglo de supresi&oacute;n condicionada) y m&aacute;s tarde mediante la observaci&oacute;n  directa, recientemente se han hecho disponibles alternativas para la medici&oacute;n  autom&aacute;tica del movimiento que permiten tambi&eacute;n la medici&oacute;n del congelamiento  condicionado. Estas nuevas t&eacute;cnicas de video permiten la medici&oacute;n directa y  virtualmente constante de la actividad del organismo, por contraposici&oacute;n a las  t&eacute;cnicas tradicionales de muestreo de tiempo caracter&iacute;sticas del registro  observacional. En el presente art&iacute;culo se compara el efecto de manipulaciones pavlovianas tradicionales sobre la  sensibilidad de los de los &iacute;ndices automatizados de congelamiento y actividad,  as&iacute; como el posible efecto de la densidad de muestreo sobre dicha sensibilidad.  Para ello se analizan datos provenientes de sesiones de extinci&oacute;n pavloviana de  42 ratones, recogidos con una frecuencia 30 Hz y transformados mediante una  t&eacute;cnica de remuestreo, para luego ser analizado mediante un modelo lineal  generalizado, a fin de determinar la magnitud del efecto de la presencia del  est&iacute;mulo condicionado en cada una de cuatro condiciones: puntajes brutos de  actividad de alta y baja resoluci&oacute;n y puntajes dicot&oacute;micos de congelamiento de  alta y baja resoluci&oacute;n. La resoluci&oacute;n de los datos mostr&oacute; ser la dimensi&oacute;n m&aacute;s  relevante para la estimaci&oacute;n de cambios locales de nivel en las series  temporales individuales, siendo dichos cambios  igualmente f&aacute;ciles de detectar en los &iacute;ndices de congelamiento y de actividad.  A diferencia de lo anterior, s&oacute;lo las medidas de actividad de alta resoluci&oacute;n permitieron la  detecci&oacute;n de cambios locales de tendencia.</font></p>     <p><font size="2" face="verdana"><b><i>Palabras clave: </i></b><i>ejecuci&oacute;n motora,  &iacute;ndices de movimiento, condicionamiento aversivo, congelamiento, modelos  lineales generalizados, series temporales.</i></font></p> <font size="2" face="verdana"> <hr size="1">     <p>Fear conditioning has long been used as a model  preparation both of anxiety related responses and of associative learning (Estes  &amp; Skinner, 1941; Fanselow &amp; Poulos, 2005; Lifshitz, Witgen &amp; Grady,  2007; Mineka &amp; Oehlberg, 2008). In the typical fear conditioning procedure,  an initially neutral stimulus (a conditioned stimulus, CS), is paired with an aversive  stimulus, generally an electric shock; the response elicited by the CS is then  considered to reflect conditioned fear. Immobility, a type of escape activity  (Levin, 1997), is one of the conditioned responses commonly observed in rodents under these conditions, and is thought  to reduce the chance to be detected by predators (Kiltie &amp; Laine, 1992).  Advances in our knowledge of the neural circuits involved in fear conditioning as well as its  link to several psychopathological conditions such as phobias and posttraumatic  stress disorder, have lead to a marked increase in the use of this experimental  preparation: according to the Science Citation Index, the number of papers using  this procedure has increased from an average of 3 per year in 1980-1982, to  more than 228 per year in 2005-2007.</p>     <p>Traditionally, immobility (that is, the freezing  response), has been measured by direct observation, where the absence of  movement except that involved in breathing is taken as an instance of  conditioned fear. This form of measurement is not only costly, but is also discontinuous,  since it involves sampling the stream of behavior, usually in 5 to 10 s  intervals. This procedure is prone to observational sampling error and has the  inherent inaccuracy of assigning one of two states to the response outcome  during the sample segments observed. An alternative way to measure the freezing  response has been through conditioned suppression, that is, through the interruption  of operant responding brought about by the presentation of the CS (Estes &amp;  Skinner, 1941). This alternative can provide a continuous indicator  of conditioned freezing, yet some sort of discrete suppression ratio is  generally calculated, where response rate during the CS is compared to the  response rate in the absence of the CS. Although freezing is sufficient to  bring about conditioned suppression, it is not necessary for its occurrence: under  certain conditions, such as lesions to the periaqueductal gray (Amorapanth,  Nader &amp; LeDoux, 1999), conditioned suppression can occur in the absence of  freezing. Nevertheless, the correlation of conditioned suppression and freezing  is large enough in intact animals to infer considerable overlap between both  processes (Bouton &amp; Bolles, 1980; Mast, Blanchard &amp; Blanchard, 1982).  Recently, a third alternative for measuring freezing behavior has become commercially  available: computer automated recording of activity. FreezeFrame<sup>Â©</sup>, by Coulbourn  Instruments and VideoFreeze<sup>Â©</sup>, by Med Associates, constitute two of the most  widely used systems to automatically record freezing behavior, but several  noncommercial adaptations are also reported in the literature. All these  systems combine video input with filtering algorithms to control for analogue  noise, and produce and index which measures the animal&#39;s activity in arbitrary units  (AU). Activity indexes falling below a predetermined threshold are taken to be  indicative of freezing. The resulting measurements have proved to be highly correlated to those produced by human observers (Anagnostaras,  Josselyn, Frankland &amp; Silva, 2000; Kopec et al., 2007; Marchand, Luck &amp; DiScala, 2003; Richmond et al., 1998), with computer-rater reliability R2s ranging from 0.92 to 0.99. These automated methods not only measure  activity directly (as opposed to indirectly, through the suppression of on-going operant behavior),  but they also measure behavior at sampling rates that for practical purposes  are equivalent to a continuous-time measurement, with resolutions as high as 30 Hz. Beyond  their high reliability indexes, the wide availability of these automated methods  brings along a complex set of methodological and technical questions, two of  which we intend to address in the present paper. First, we seek to assess the  sensitivity of the raw activity index to theoretically relevant experimental manipulations,  as compared to the traditional percent of freezing. We also seek to evaluate the  effect of the sampling density on the sensitivity of activity and freezing  indexes to local changes in the level and trend of behavior (Glass, Gottman  &amp; Willson, 1975).</p>     <p>Regarding the first of these questions (Are a  raw activity indexes as sensitive to experimental manipulation as the  traditionally used percent of freezing?), the use of an interval/ratio scale,  such as that of the activity indexes, should result (in principle) in more  statistical power than a dichotomous measure, such as the freezing response (Donner  &amp; Eliasziw, 1994). Nonetheless, automatically derived activity scores have  shown to be less sensitive to manipulations of shock intensity than automated measurements of freezing in a  context-conditioning preparation (Anagnostaras et al., 2000). This inferior sensitivity was interpreted by Anagnostaras and his collaborators  not as a lack of reliability, but rather as a deficit in the validity of the  activity index as a measurement of fear, resulting from a high degree of  variability in baseline activity. We therefore sought to examine the sensitivity  of the activity index in a within-subject manner, that is, in such a way as to  derive estimations of effect size of experimental manipulations for each  animal. Data derived from fear-conditioning experiments are rarely stationary  and there is no reason to assume autocorrelation between the data points  remains stable: therefore, according to recent advances in measurement theory,  no pre-determined relationship exists between intraindividual variation and inter-individual  variation (Molenaar, 2007; Molenaar, Sinclair, Rovine, Ram &amp; Corneal,  2009). Two generalized linear models were thus fitted for the data generated by  each mouse during an extinction session, using a dummy variable representing the  presence/absence of the CS as an independent variable and either an  automatically generated activity index or freezing index as a dependent  variable (quantitative details are provided below. Extinction sessions provide  a more impartial scenario in which to compare activity and freezing  measurements than that of a conditioning session (since freezing is rarely  observed during conditioning trials), while allowing the evaluation the most  basic datum of conditioned responding: the difference between the presence and  the absence of the CS.</p>     <p>As to our second question (How are differences between  activity and freezing scores, if any, affected by sampling density?), we  carried out the aforementioned analysis on data collected under the highest  resolution allowed by the conditioning system (30 Hz, resulting in 57600 data  points per subject) and also on a lower resolution sample of this data (closer  to that used in direct observation studies), of one observation every 5 s.  (that is, 0.2 Hz). Effect sizes (Rosenthal, Rubin &amp; Rosnow, 2000) for these  four conditions (high vs. low density sampling, freezing vs. activity indexes)  were compared.</p>     <p><b>Method</b></p>     ]]></body>
<body><![CDATA[<p><b><i>Subjects</i></b></p>     <p>Subjects were 42 male naive ICR mice, 8 weeks  old upon their arrival at the Virginia Commonwealth University vivarium. Mice were  housed in groups of three or four and had ad-libitum access to food and water.  Animals were allowed to acclimate to the VCU facilities for one week before the  beginning of the experiment. Experimental sessions were conducted Monday-Friday  during the light phase of a 12-h/12-h light/dark cycle (lights on at 0700 hours  to 1900 hours). All procedures were carried out according to the &quot;Guide for the  Care and Use of Laboratory Animals&quot; (Institute of Laboratory Animal Resources  (U.S.) &amp; NetLibrary Inc., 1996), and approved by the IACUC of Virginia Commonwealth University.</p>     <p><i><b>Apparatus</b></i></p>     <p>Seven identical fear-conditioning systems (Med  Associates, Albany, VT) were used throughout the experiment. Each conditioning  boxes was 24 Ã— 30.5 Ã— 29 cm, with a Plexiglas front, aluminum side walls (with a  speaker mounted at the top and center of the left wall), and a white vinyl back  wall. A grid floor was used during the fear conditioning session and a white,  smooth Plexiglas floor was used during the extinction session. During extinction,  a black A-shaped plastic frame was used to change the shape of the chamber.  Conditioning boxes were housed within sound-attenuated chambers, where a near-infrared  camera was mounted on the front side. The chambers were illuminated by near-infrared  lights throughout all sessions and by a white light during the extinction  session. Grid floors were washed with soap and water between animals and the walls of the conditioning  chambers were cleaned with disinfectant wipes (Fresh ScentedÂ® for conditioning  sessions, Lemon ScentedÂ® for extinction sessions). All sessions  were recorded and movement indexes were automatically calculated by the  Video-FreezeÂ© (Med Associates, Albany, VT) software in real time, at a rate of 30  frames/data points per second.</p>     <p><i><b>Procedure</b></i></p>     <p>Animals were brought into the laboratory in  groups of 7, were weighed and allowed to acclimate for 40 min. to the lab  setting before the beginning of each session. Conditioning sessions lasted 7  minutes, and consisted of a 120 s. baseline, followed by 3 CS-US pairings, with  an inter-trial interval (ITI) of 90 s. The CS was a 20 s 80 dB white noise (as  measured at floor level from the center of the conditioning box). The US, which  co-terminated with the CS, was a 2 s. 0.7 mA scrambled foot-shock, delivered through the grid floor. 24 hrs after  the conditioning session, each animal received one extinction session, which  consisted of a 120 s. baseline followed by 20 CS presentations, with a 10 s. ITI. No  stimulus changes were programmed for the following 9.5 min, which were then  followed by an additional train of 20 CS. Data presented here correspond to the extinction  session.</p>     <p><i><b>Data  management and analysis</b></i></p>     <p>The high resolution measure was a quantitative  activity index, automatically generated by the VideoFreezeÂ© software at a rate  of 30 Hz, and constitutes the base measurement from which the three remaining  indexes were generated. </p>     <p>A second quantitative measure of the response  was obtained by resampling (applying a convolution filter) the high resolution  measure, lowering the resolution to a rate of 0.2 Hz (1 observation each 5 seconds),  resulting in the <i>low resolution</i> activity index measure. To mimic the observational procedure which is often  used to obtain a binary measurement of the freezing response via  direct observation, a <i>linear filter</i> was applied to both high and low resolution activity index series,  producing high and low resolution binary freezing estimate,  respectively.</p>     <p>The linear filter to transform the activity  index into a binary freezing classification may be expressed as:</p>     ]]></body>
<body><![CDATA[<p align="center"><a name="e1"><img src="img/revistas/rlps/v41n2/1a02e1.gif"></a>   </center> </p>     <p>Where f<sub>b</sub> is the freezing  estimate for bin b (from time t to t+k), y is the activity index, MA is the  moving average operator, and c is the threshold to  establish absence of significant movement. The MA moving window was set to 1  second, and the threshold c was set to an arbitrary value that generated two  distinctive images in the digital video file.</p>     <p>The filter described in <a href="#e1">Equation &#91;1&#93;</a> intends to produce  results similar to those generated by traditional observational procedures, in  which movement is observed at discrete intervals and classified as presence  or absence of freezing by an observer. In non-quantitative terms, the linear  filter classifies an observation as an instance of freezing if the movement index falls below a  certain measure and does so for a predetermined length of time, in this case,  of at least one second. Both the re-sampling at lower resolution and the linear  filter may be considered <i>smoothing</i> operations of the  high-resolution continuous activity index series (the base measurement).</p>     <p>The analysis of a high-resolution time series of  the activity index may be accomplished by several models, including frequency  domain models, multivariate autoregressive models, error-correction regression  models, nonlinear time series, and oscillator neural networks, among others.  However, our purpose was to find a common metric in which to compare the  quantitative measure of movement with results from the analysis of the binary classification of the freezing response.  In consequence, the priority in choosing the data analysis procedure was the  comparability of the continuous measure and binary results, even at different  resolutions. On the other hand, the chosen strategy, Interrupted Time Series  analysis (ITS) via segmented or discontinued regression is a well known and tested analysis  framework in behavioral research (Huitema, 1998; Vargas-Irwin, 1999).</p>     <p>To compare the four different indexes, we estimated  the effect of the presence of the CS over the response using ITS, estimating  the parameters using Generalized Linear Model (GLM) (McCullagh &amp; Nelder, 1989).</p>     <p>For each freezing measure, an ITS segmented regression  model was fitted with the following model specification:</p>     <p align="center"><a name="e2"><img src="img/revistas/rlps/v41n2/1a02e2.gif"></a>   </center> </p>     <p>Where Y is the response measure from t<sub>0</sub> to t<sub>n</sub>, t<sub>0</sub> being the beginning of the session and t<sub>n</sub> the final time point of the session. Parameter b<sub>0</sub> is the intercept, X1 is a dummy variable indicating the  presence of the CS, with value 1 when the CS is present and 0 otherwise, X2 is assigned a linear polynomial  value proportional to the value of time when the CS is present, and 0 otherwise. X3 is a linear  polynomial increasing from t<sub>0</sub> to t<sub>n</sub>. Given this specification, b<sub>1</sub> is the parameter  estimate for the average effect of  the CS on the level of the series, b<sub>2</sub> indicates the average local change in trend associated with the presence of the CS and b<sub>3</sub> represents the global trend, from the beginning  to the end of the session. Equation &#91;2&#93; corresponds to a standard  ITS specification.</p>     <p>In terms of GLM parameter estimation, the response  is represented by g(Y), where g is a function involving an exponential family  distribution and a link function. This representation allows the treatment of both  kinds of measures (activity index and binary freezing classification) within the same  modeling framework. For the activity index, a gaussian reference distribution  with identity link function was used; and a binomial distribution with log link  function was used for the binary freezing classification.</p>     <p>Using GLM representation, test statistics for <i>b<sub>1</sub>, b<sub>2</sub></i>, and <i>b<sub>3</sub></i> were obtained for the four measures of the response.  To obtain a more standard and comparable measure of the effect across the  different models, an effect size measure was estimated from the GLM results.</p>     ]]></body>
<body><![CDATA[<p>All effect size measures were computed as standardized  mean differences d, to ensure a common  metric and comparability (Cohen, 1988). To estimate d from regression effects, we used the following expression:</p>     <p align="center"><a name="e3"><img src="img/revistas/rlps/v41n2/1a02e3.gif"></a>   </center> </p>     <p>Where T is the test statistic associated with  the regression effect (GLM parameter estimate), and df<sub>e</sub> are the degrees of freedom of the error mean  square. The value of d is in standard  deviation units, which means that a d=1 indicates an  effect producing a difference of 1 standard deviation in the outcome. In this  case, d is interpreted as a  within-subject effect-size measure (Parker &amp; Hagan-Burke, 2007).</p>     <p>For each within-session series (corresponding to  each animal), a model was fitted for the 4 alternative response measures,  giving a grand total of 168 (42x4) GLM results. Given that each subject generated 30 data points  per second, each time series of 32 min consisted of 57600 data points.  Recording and preprocessing the 42 withinsubject series, applying the filters and fitting the 168  GLMITS equations, involved complex computer-intensive procedures, required  specialized software for data management and computational processing. A set of  computational software tools developed by the authors in C, Java and Python  programming languages were employed, based upon previous computational software  components (Robles, 1996, 2005).</p>     <p align="center"><a name="f1"><a href="img/revistas/rlps/v41n2/1a02f1.gif" target="_blank">FIGURE 1</a></a></p>     <p><b>Results</b></p>     <p>Average results for the high resolution  measurements are presented in <a href="#f1">Figure 1</a>. Both the activity index (panel A) and  the binary freezing index (panel B) were able to discriminate between the  presence and absence on the CS on a local level, that is, between the average performance  in each presentation on the CS and the intertrial interval.</p>     <p>Figure 1 (A) shows how the activity index peaks  at the beginning of the session, and exhibits a decreasing trend throughout the  baseline period. On the other hand, the freezing index (Fig. 1 B) shows no  discernible trend. The introduction of the CS produced a sharp drop in the  level of the activity index series, which is also reflected in the peaking of the freezing index: both types  of data showed a sharp contrast between the baseline and the fist train of  extinction trials. Within this first extinction phase the presence of the CS and  the inter-trial intervals are clearly differentiated by both indexes, hence the  saw-tooth pattern of both series. For the activity index, an upward trend is  present throughout this phase of the session, which is mirrored by a decreasing  trend in the activity scores. This slow increase in activity and decrease in  freezing reflects the progressive extinction of the CS. Between the two trains  of extinction trials both the activity index and the freezing scores exhibit  clear changes in the level of the series, corresponding respectively to an  increase in activity and almost a complete lack of freezing. Nonetheless, as  was the case with the baseline and the fist trend of extinction trials, only  the activity index exhibits a reversal in the trend: while the first train of  extinction trials showed and ascending trend, this inter-train phase shows a  decreasing trend. The same pattern is observed when extinction trials are  re-started, since both indexes show clear changes in the level of the series,  but only the activity index exhibits a reversal in the trend. For both indexes,  though, higher levels of conditioned responding are evident during the second  train of extinction trials in comparison to the first one, which may be  interpreted as within-session spontaneous recovery.</p>     <p>These results illustrate how activity and  freezing indexes are differentially sensitive to dynamic changes in  2.2e-16 for the AI, and t (1,41)= 9.86, p = 2.194e-12 for the binary freezing index. As to  the description of local trends within each presentation of the CS  and ITI, only the AI resulted in non-negligible average effect sizes, which  were significantly greater (in absolute value) than those for the freezing  index, both for the high resolution (t (1,41)= 2.92, p = 0.005) and low resolution conditions (t (1,41)= 5.11, p = 7.81e-06). For the AI, effect sizes under high resolution sampling were also  significantly greater than those of the low resolution condition (t = 5.15(1,41), p-value = 6.937e-06). </p>     <p align="center"><a name="t1"><a href="img/revistas/rlps/v41n2/1a02t1.gif" target="_blank">TABLA 1</a></a>   </center> </p>     ]]></body>
<body><![CDATA[<p><b>Discussion</b></p>     <p>The present results show how computer-generated  scores obtained by automated video processing can constitute valid dependent  variables in fear-conditioning preparations. Although evidence in this respect  has been accumulating in recent years (Anagnostaras <i>et al.</i>, 2000; Kopec <i>et al.</i>, 2007; Marchand et al., 2003), this constitutes, to our knowledge, the  first test of the sensitivity of these measurements to within-subject data  analysis.</p>     <p>When controlling for the global properties of  each individual time series, both the interval/ratio measure of activity and  the binary measurement of freezing proved to be equally effective in detecting changes in  level brought about by the presence of the CS. In assessing individual changes  in the level of responding, the most important dimension is therefore not whether the index  used is dichotomous or not, but rather the density of the observations: the  more frequent the observations, the greater the effect sizes observed. Since  the effect size measures correct for differences in sample size (Rosenthal <i>et al.</i>, 2000), this differential sensitivity cannot be  regarded as a statistical artifact. Non-automated observational recording of  the freezing response usually entails low frequency measures such as the one  used here. Therefore, non-automated recording will likely result in smaller  effect sizes than high-frequency automatic recording.</p>     <p>These results contrast with those reported by Anaganostaras  et al. (2000), who found the  dichotomous freezing index to be more sensitive than the activity measure in  the detection of the magnitude of shock used during conditioning. Several  factors may contribute to this difference. On one hand, Anagnostaras&#39; results  constitute a between subject comparison, which makes them more vulnerable to  individual differences in baseline activity. Furthermore, unlike the  time-series GLM modeling carried out here, Anagnostaras&#39; analysis didn&#39;t take  into account the global trend and level of the series. Finally, our independent  variables were different: while we assessed the effect of the presence/absence  of the CS, they evaluated the sensitivity to the magnitude of the unconditioned  stimulus.</p>     <p>Even though the continuous/dichotomous  distinction was not relevant when determining the level of the time series, it  did result in differential sensitivity when assessing trends. Visual inspection  of the data series averaged for the 42 subjects (Figure 1), shows how the  activity index reveals within-series trends that are absent in the freezing index  data: activity is at its maximum at the beginning of the session, decreasing  sharply during the initial stimulusfree baseline. The introduction of the first  CS train brings about an abrupt decrease in the level of the series, but most  importantly, a reversal of the trend, with an increase in activity with the  successive presentations of the CS. Since decreased activity signals the  conditioned fear response, its increase, in the present setting, accurately depicts  the extinction of conditioned responding (Rescorla, 2001); this reversal in the  trend can also be observed for the second train of CSs. In  contrast with this, the decrease in the freezing index is much less conspicuous.  On a smaller scale, that is, when analyzing within-CS and ITI trends, only the continuous,  highresolution measure proved to be sensitive enough to detect dynamic changes.</p>     <p>In general, binary measures analyzed via GLM  with binomial and log-link function tend to evaluate drastic, long lasting  changes, while the subtleties of local variations which characterize the dynamic  of the organism activity usually go undetected. In this sense, binary measures  and their quantitative modeling may produce an artificially &quot;clean&quot; pattern,  and when accompanied by low resolution sampling, tend to favor &quot;neat&quot; or  &quot;average&quot; patterns instead of local variations.</p>     <p>The main finding of this research was that  binary, low-resolution measures of freezing can differ  drastically from continuous high-resolution measures of activity, both in their  global parameters (level) and in the more complex dynamic properties such as local  trends. Effect size differences can follow a less than predictable pattern when  binary, low resolution measure are used, thus requiring increased caution for  the interpretation of traditional timesampled data.</p>     <p>The increased resolution brought about by the automated  scoring of behavior under fear conditioning preparations is due to impact our  conception of this phenomenon, as theoretical and technological aspects of a  scientific discipline are in constant reciprocal interaction or co-evolution  (Lattal, 2008). The availability of a continuous measure of activity allows for  the analysis of experimental settings where the freezing response is rarely observed,  such as fear-conditioning acquisition sessions. Furthermore, high-resolution  measures of conditioned responding will now permit a more stringent evaluation of  time-based (as opposed to trial-based) models of pavlovian conditioning  (Church, 1997; Larrauri &amp; Schmajuk, 2008; Wagner, 2008).</p>     <p><b>References</b></p>     <!-- ref --><p>Amorapanth, P., Nader, K., &amp; LeDoux, J. E.  (1999). Lesions of periaqueductal gray dissociateconditioned freezing from  conditioned suppression behavior in rats. 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