dental bonding materials form a bond between tooth structure and the restorative materials . this formed adhesive bond will provide protection of the tooth structure during restoration and will lengthen the restorations clinical lifetime.1 different classifications can be made including dentin bonding agents clinical application types , their effect mechanisms and contents.2 there is less information about dentinal adhesion to primary dentin when compared with permanent dentin.3 one of the laboratory tests which guide clinicians in restorative materials clinical usage are bond strength tests . the most commonly used ones are tensile and shear bond strength tests.4 failures are classified as adhesive , cohesive and mixed types.5 al - salehi and burke4 had reported that there was a relationship between the bond strength and fracture failure mode . there are various shear bond strength studies reporting failure modes using different methodologies mostly by microscopic methods in literature.6,7 the first aim of this study was to compare different dentin bonding agents bond strength to primary and permanent dentin using shear bond strength test . second aim was to compare the failure modes with a stereomicroscope , to put an effort to develop a statistical model that could be helpful to establish the relationship between the shear bond strength values and failure modes and to study whether developing this kind of a statistical model for evaluation of failure modes would be a beneficial method . a statistical model that could be helpful in estimating the possibility of obtaining an adhesive type of fracture when a certain amount of shear bond strength was applied was aimed to be developed . further development of statistical models for failure modes can be supportive alternatives for microscopic evaluations and also be helpful in understanding and eliminating the factors which are responsible for the formation of adhesive failures and for achieving clinically more successful adhesive restorations . 21 extracted , caries - free , unrestored primary second molars and 21 extracted caries - free , unrestored erupted permanent third molars were used in this study . any remaining soft tissues were thoroughly hand - scaled and cleaned from the tooth surfaces and teeth were disinfected in 0.5% chloramine solution and placed in distilled water for up to 1 month at 20c . crowns were separated from the roots 23 mm apical from the cementoenamel junction ( cej ) , and pulp tissue was removed with a dental explorer . after this procedure crowns were embedded into teflon molds vertically by using a self - curing acrylic resin ( orthocryl eq , dentaurum , germany ) . the mid - coronal dentin of the occlusal surfaces was exposed by a flat cut perpendicular to the long axis of the tooth with a fine diamond disc in high speed with a copious water spray and 300 , 600 grit - sic paper were used to prepare a flat dentin surface on the specimens and to simulate the dentin smear layer formed after clinical instrumentation . after the dentin surfaces had been controlled for the absence of enamel with a stereomicroscope ( leica , mz 12 , leica ag , ch-9435 heerbrugg , switzerland ) both primary and permanent molars were randomly divided into three groups respectively . dentin bonding agents were applied according to the manufacturers instructions . before the applications an adhesive tape with a central orifice of 3 mm in diameter was applied to the dentin surfaces to demarcate the area to be treated . i , a three - step total - etch ( scotchbond multi purpose ( sbmp ) ) , in group 2 , a two - step total - etch ( gluma comfort bond ( gcb ) ) and in group 3 , a one - step self - etch ( adper prompt - l - pop ( plp ) ) system were used . information regarding dentin bonding agents is presented in table 1 . a halogen light curing unit ( hilux 200 , benlioglu dental inc , ankara , turkey ) with a light intensity of 400 mw / cm this light curing unit was controlled with a radiometer ( curing radiometer , model 100 , demetron / kerr corp . after the application of dentin bonding agents , a resin composite material ( z100 restorative a2 , 3 m espe , st paul , mn , usa ) was applied on to the prepared dentin surfaces with the help of a teflon tube with an inner diameter of 3 mm and a height of 2 mm which was carefully attached to the prepared and previously delimitated dentin surfaces by an impression putty mould . composite materials were light cured for a total of 160 s ; 40 seconds from each perpendicular direction by using the same halogen light curing unit . after curing had been completed the teflon tube surrounding the composite was carefully removed . after this period , samples were subjected to thermal cycling at 555c for 500 cycles with a dwell time of 30 s. 24 hours after thermal cycling , specimens were debonded using an universal testing machine ( lloyd lrx universal , lloyd instruments , fareham , hants , england - uk ) at a crosshead speed of 0.5 mm / min at room temperature ( 232c ) . the specimens were secured in a mounting jig ( bencor multi - t shear assembly , danville engineering inc . , san ramon , ca ) with the shearing rod against and parallel to the flat prepared bonding sites . the distance from the probe to the dentin surface was monitored using a spacer of two celluloid matrices . shear bond strengths were calculated by dividing the highest fracture force ( n ) with the bonded area ( diameter 3 mm ) and recorded in mpa . after the application of shear bond strengths to resin - dentin bonded surfaces and specimens were debonded , failure modes were recorded . for this purpose debonded areas were examined visually for their failure region and were also observed under a stereomicroscope ( leica , mz 12 , leica ag , ch-9435 heerbrugg , switzerland ) at 25 magnification to evaluate the site of failure . the actual mode of failure was recorded according to the following criteria:5 adhesive failure mode : no signs of dentin fracture or remnants of resin on the tooth , failure in adhesion . cohesive failure mode : complete fracture of dentin or resin , failure of the tooth substrate or failure of the resin composite . mixed failure mode : samples showing both adhesive and cohesive failures . in the statistical analysis and modeling section , a logistic regression model was developed to explain the fracture type by the shear bond strength , and a linear regression model was built to investigate the effects of the tooth structure and the material type on the shear bond strength values . because the ordinal logistic regression models fitted mostly failed in predicting mixed type of fractures , and also because the main goal of this study was avoiding to have the worst type of fracture , the response was categorized as observing either the worst type of fracture ( i.e. adhesive ) or observing the others ( i.e. cohesive and mixed ) . adhesive ; it was set to zero if the fracture type was either  cohesive or mixed. several binary logistic models were fit by using spss 158 and compared by classification rates and goodness - of - fit measures.9 the best model finally obtained was : where xc is the centralized shear bond strength value , i.e. , xc = x - x . for each possible observed value of centered strength , one can calculate the estimated probabilities . if the estimated probability of observing adhesive type fracture is greater than 0.5 , the response was classified as  adhesive. for this model , a true classification rate of ( 110/41 ) 100%=75.6% was obtained . this means that , about 76% of all observations were classified into the correct response categories . summary statistic based on deviance residuals ( p value=0.46 ) and hosmer - lemeshow goodness - of - fit ( p value=0.628 ) test showed no lack - of - fit . in short , by the use of this model , one can estimate the possibility of obtaining an adhesive type of fracture when a certain amount of shear bond strength is applied . to express the change in the shear bond strength values with respect to the tooth structure and the material type , a linear regression model in ( 2 ) was developed by using the statistical software spss 15.8 in this model , the indicator variable represents the z1 levels of the  tooth structure. similarly , two other indicator variables , denoted by z2 and z3 , represent the levels of the  material type. how treatment groups ( tooth structure , material type ) were represented by different codings of these indicator variables is presented in table 2 . to illustrate , the second row of the table , where z1=1 , z2=0 , z3=1 , indicates the treatment group in which the dentin bonding agent plp was applied to the primary dentin . to obtain statistically valid results , however , the analysis of residuals from the fitted model ( 2 ) indicated that both constant error variance and normality assumptions were violated . as a remedial measure , the power l=0.5 was applied to the response , x , as suggested by the box - cox power transformation.10 graphical analysis of residuals after transformation of the response , x , indicated that the white noise assumption was satisfied . the resultant model consisting of only statistically significant ( all p values<0.015 ) model parameters because the ordinal logistic regression models fitted mostly failed in predicting mixed type of fractures , and also because the main goal of this study was avoiding to have the worst type of fracture , the response was categorized as observing either the worst type of fracture ( i.e. adhesive ) or observing the others ( i.e. cohesive and mixed ) . adhesive ; it was set to zero if the fracture type was either  cohesive or mixed. several binary logistic models were fit by using spss 158 and compared by classification rates and goodness - of - fit measures.9 the best model finally obtained was : where xc is the centralized shear bond strength value , i.e. , xc = x - x . for each possible observed value of centered strength if the estimated probability of observing adhesive type fracture is greater than 0.5 , the response was classified as  adhesive. for this model , a true classification rate of ( 110/41 ) 100%=75.6% was obtained . this means that , about 76% of all observations were classified into the correct response categories . summary statistic based on deviance residuals ( p value=0.46 ) and hosmer - lemeshow goodness - of - fit ( p value=0.628 ) test showed no lack - of - fit . in short , by the use of this model , one can estimate the possibility of obtaining an adhesive type of fracture when a certain amount of shear bond strength is applied . to express the change in the shear bond strength values with respect to the tooth structure and the material type , a linear regression model in ( 2 ) was developed by using the statistical software spss 15.8 in this model , x is the response representing the shear bond strength values measured in mpa . the indicator variable represents the z1 levels of the  tooth structure. similarly , two other indicator variables , denoted by z2 and z3 , represent the levels of the  material type. how treatment groups ( tooth structure , material type ) were represented by different codings of these indicator variables is presented in table 2 . to illustrate , the second row of the table , where z1=1 , z2=0 , z3=1 , indicates the treatment group in which the dentin bonding agent plp was applied to the primary dentin . to obtain statistically valid results , however , the analysis of residuals from the fitted model ( 2 ) indicated that both constant error variance and normality assumptions were violated . as a remedial measure , the power l=0.5 was applied to the response , x , as suggested by the box - cox power transformation.10 graphical analysis of residuals after transformation of the response , x , indicated that the white noise assumption was satisfied . the resultant model consisting of only statistically significant ( all p values<0.015 ) model parameters the minimum , maximum and the mean shear bond strength values measured in newton and mpa along with their standard deviations for all groups are presented in table 4 . note that the percentages were calculated by dividing the count in a cell by the number of observations in each subgroup . to exemplify , 2 out of 7 primary teeth where sbmp was applied turned out to be adhesive failure mode . as a result , depending on the descriptive statistics calculated ( tables 4 and 5 ) and the models developed in the  statistical analysis and modeling section for both shear bond strength values and failure modes , the following results were obtained ; tooth type affected the shear bond strength test values ( p value=0.0 ) ; there was a statistically significant difference in primary and permanent dentin except the self - etch adhesive system ( plp ) ( p value=0.0 ) . higher bond strength values were obtained for permanent dentin . for primary and permanent dentin mean total - etch adhesives displayed higher shear bond strength values than the self - etch adhesive both in primary and permanent dentin . mean strength values for the total - etch adhesives ( sbmp and gcb ) were 15.99 mpa and 23.35 mpa for primary and permanent dentin , respectively . mean strength values for the self - etch adhesive ( plp ) were 11.09 mpa and 12.01 mpa , for primary and permanent dentin , respectively . although there was no statistical difference between total - etch adhesives ( p value>0.05 ) , three - step total - etch system had given slightly higher shear bond strength results compared to the two - step one both in permanent and primary dentin . mean strength values for three - step total - each system ( sbmp ) were 16.79 mpa and 23.48 mpa for primary and permanent dentin , respectively . whereas mean strength values for two - step one ( gcb ) were 15.19 mpa and 23.23 mpa for primary and permanent dentin , respectively . when the results were evaluated it was observed that adhesive failures were more frequently seen in primary dentin ; while the adhesive failure ratio was 38.12% in permanent dentin , this ratio was 52.38% in primary dentin . it had also been observed that the self - etch adhesive system ( plp ) displayed more adhesive failures compared to the total - etch adhesives ( sbmp and gcb ) both in permanent and primary dentin . while the adhesive failure ratio for self - etch adhesive system was 85.72% and 71.53% for primary and permanent dentin , respectively ; this ratio for total - etch adhesives was 35.71% and 21.42% for primary and permanent dentin , respectively . in this study shear bond strength test results of primary and permanent dentin were statistically different from each other for total - etch adhesives . higher bond strength values were obtained for permanent dentin compared to primary dentin . this result is in consistence with some of the previous studies which had reported that this lower bond strength values in primary teeth were related with the physical , micromorphological and chemical differences between primary and permanent teeth.5,1115 nr et al14 indicated in their study that the hybrid layer produced was significantly thicker in primary than in permanent teeth , suggesting that primary tooth dentin was more reactive to acid conditioning . according to these authors , the increased thickness of the hybrid layer in primary teeth and the subsequent lack of complete penetration of adhesive resin into previously demineralized dentin may contribute to the lower bond strengths to primary dentin . shorter time for dentin conditioning could be used as a means to reproduce the hybrid layer thickness seen in permanent teeth . total - etch adhesives displayed higher shear bond strength values than the self - etch adhesive both in primary and permanent dentin . in literature some studies had reported that self - etch systems did not display adequate bond strength.1620 on the other hand , there are other studies supporting these systems.2123 according to bolanos - carmona et al24 the performance of self - etching adhesives on primary dentin depends on the product . van meerbeek et al25 concluded that in spite of enhanced ease and faster application , simplified adhesives so far seem to induce a loss of bonding effectiveness , and their advantages should therefore be traded off against their shortcomings . nevertheless , in the end the only true criterion for an adhesive s quality had been reported as its long - term clinical performance.25 although there was no statistical difference between total - etch adhesives , three - step total - etch system had given slightly higher shear bond strength results compared to the two - step one both in permanent and primary dentin . although this difference could be due to chance for this study , some of the researches had reported that despite the simplification studies which were trying to lesser the application steps of the bonding systems , conventional 3-step adhesive systems were the most reliable systems currently.2629 it was found that the adhesive failure ratio in permanent dentin was lower than in primary dentin . in another saying adhesive failures were more frequently seen in primary dentin . this result was consistent with the shear bond strength test values indicating that bonding to permanent dentin was more successful compared to primary dentin . when the results were considered from the material type ; it had been observed that the self - etch adhesive system displayed more adhesive failures compared with the total - etch adhesives both in permanent and primary dentin supporting the shear bond strength test s results as it had been found lower shear bond strength values for the self - etch group like the corroborating studies.12,30,31 according to the results of this study separate applications of each step by three - step adhesive system enhances the efficacy and also provides the necessary time for the bonding material to penetrate into dentin tubules . but it should be taken into account as leloup et al32 concluded in their study that many parameters like the test design and experimental conditions significantly influence dentin bond strength . in this study , the extracted teeth were stored in distilled water at 20c , like33,34 which had stated that this was the preferred method for testing the bond strength of resin composites to dentin . according to the studies33,35,36 dentin adhesives tend to function well in bond strength tests when tested shortly after application . price and hall5 reported that they had found significant differences between fracture failure modes obtained 10 minute and 24 hour after the application of the bonding systems . in this study samples were subjected to thermal cycling 24 hours after the restorative procedures and to shear bond strength test 24 hours after thermal cycling . studies had reported that in vitro bonding tests were effective methods in understanding the physical strength of adhesive systems , and were also , important tools in predicting and developing the clinical performance of these systems.31,37,38 by these efforts , conservation of the tooth structure and lengthening the clinical lifetime of the restorations can be obtained.39 researchers40,41 had mentioned that the advantage of this in vitro measurement of bond strength test method was being relatively simple with respect to specimen preparation , equipment required and test setup , but the main criticism was that it measured the cohesive strength of the material being bonded or the substrate ( or both ) , rather than the bond strength of the adhesive interface . also studies4247 reported that despite its well known limitations the shear bond test set up had been the most commonly employed laboratory technique for evaluating the bond strength of adhesives and resin - bonded restorations but a notable feature of the studies evaluating shear bond strength tests was the observation that the failure mode was predominantly cohesive within the substrate and that this was attributed to the nature of the stresses generated and their distribution within the adherence zone and the relatively low bond strengths obtained might be explained by differences in material combinations , test set up and operator factors . finally , windley et al48 stated that though in vitro bond strength tests did not directly predict clinical performance , the comparisons between groups were valid and could be utilized when making clinical decisions . failure modes had been classified as adhesive , cohesive and mixed.5 triolo and swift49 and mason et al50 had thought that in weaker adhesive systems , fracture type was adhesive and minimal resin penetration occurred in these systems . perdigao et al51 had similarly observed and reported that , cohesive type of fractures were begun to be seen when the shear bond strength values exceeded 17.40 mpa . similarly cohesive type of failures were observed when the shear bond strength values exceeded 16.5 mpa for primary dentin and 24.9 mpa for permanent dentin in this study . it had been estimated that bond strengths of 17 to 20 mpa may be required to resist contraction forces sufficiently to produce gap - free restoration margins.52 researchers28,53,54 observed that the adhesive failures between dentin and the bonding system occurred in lower bond strength values and studied the probable factors for this in their research study . there are also other researchers supporting the idea that failure types were not correlated with bond strength values especially in cohesive type of failures in dentin.13,42,55,56 cohesive type of failure in dentin is an important issue which should be studied in detail in a different study . but in this study it had been concluded that , statistical investigation of failure types could be beneficial if the limitations could be eliminated in further studies and the results obtained supported the results of bond strength test values . al quahtani et al53 also reported a corroborating result and mentioned that investigation of failure types could provide important data in the analysis of the results of shear bond strength values and that the classification of failure modes was an important observation . in short , within the limitations of this in vitro study , bonding to permanent dentin was found to be more successful compared to primary dentin . this can be due to various factors including both the structural differences between tooth structures and the applied materials . another important factor is the fact that dentin bonding agents are developed mostly by using permanent teeth . there is no application protocol that is given for the usage of dentin bonding agents in primary teeth by any of the manufacturers . for example shorter etchant application time periods can enhance adhesion by preventing excessive demineralization so can be studied and advised . it had been found that total - etch adhesives have still got their own advantages when compared to the self - etch adhesive system . but self - etch adhesives have also got their own clinical benefits especially in patients where isolation is hard to obtain , so they worth developing with further in vivo research . a statistical model that could be helpful in estimating the possibility of obtaining an adhesive type of fracture when a certain amount of shear bond strength was applied was aimed to be built . developed statistical model for understanding the relationship between failure modes and the shear bond strength test values confirmed that lower bond strength values were associated with the adhesive failures . by using this model and the methodology one might predict the failure mode by substituting his / her own estimated shear bond strength data into the model and learn whether the failure mode will be adhesive or not without using a microscope . it should be emphasized here that in its present form the developed model must not be generalized and may only be applicable to the investigated adhesive systems and the laboratory method that had been used in this study . for example , a further research can be conducted to investigate the mixed type and the types of cohesive failure separately . besides , fuzzy approach can be used to model the data in order to take into consideration that failure mode evaluations are subjective , and thus , both models prediction performances can be compared with respect to various criteria . moreover , other applications like acid etching may also be factored in as one of the variables in modeling of failure modes . further models developed based on studies using universal testing standards with increased sample size , different materials and variables according to the subject , will be useful for a larger group of investigators and can be helpful in estimating the possibility of obtaining an adhesive type of fracture when a certain amount of shear bond strength is applied and understanding the positive or negative role of different variables on shear bond strength of adhesives . further development of statistical and fuzzy models for failure modes can be supportive alternatives for microscopic evaluations and also be helpful in understanding and eliminating the factors which are responsible for the formation of the adhesive failures and for achieving clinically more successful adhesive restorations .